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3087415296 = 21132723929
BaseRepresentation
bin1011100000000110…
…0011100000000000
321222011111221120200
42320001203200000
522310334242141
61230210005200
7136336411530
oct27001434000
97864457520
103087415296
111344846899
12721b76800
133a283cb74
1421407d4c0
151310aeab6
hexb8063800

3087415296 has 144 divisors (see below), whose sum is σ = 10191308400. Its totient is φ = 882081792.

The previous prime is 3087415291. The next prime is 3087415349. The reversal of 3087415296 is 6925147803.

3087415296 is a `hidden beast` number, since 3 + 0 + 87 + 41 + 529 + 6 = 666.

3087415296 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

3087415296 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3087415291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117060 + ... + 140988.

It is an arithmetic number, because the mean of its divisors is an integer number (70772975).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3087415296 = 6174830592, but 3⋅3087415296 = 9262245888 is not.

Almost surely, 23087415296 is an apocalyptic number.

3087415296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095654200).

3087415296 is an abundant number, since it is smaller than the sum of its proper divisors (7103893104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3087415296 is a wasteful number, since it uses less digits than its factorization.

3087415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23964 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3087415296 is about 55564.5147193782. The cubic root of 3087415296 is about 1456.1239680302.

The spelling of 3087415296 in words is "three billion, eighty-seven million, four hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 23929 32256 43008 47858 64512 71787 95716 129024 143574 167503 191432 215361 287148 335006 382864 430722 502509 574296 670012 765728 861444 1005018 1148592 1340024 1507527 1531456 1722888 2010036 2297184 2680048 3015054 3062912 3445776 4020072 4594368 5360096 6030108 6125824 6891552 8040144 9188736 10720192 12060216 12251648 13783104 16080288 18377472 21440384 24120432 24503296 27566208 32160576 36754944 42880768 48240864 49006592 55132416 64321152 73509888 85761536 96481728 110264832 128642304 147019776 171523072 192963456 220529664 257284608 343046144 385926912 441059328 514569216 771853824 1029138432 1543707648 3087415296