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3465072 = 243313617
BaseRepresentation
bin1101001101111101110000
320112001012000
431031331300
51341340242
6202134000
741311152
oct15157560
96461160
103465072
111a573a6
1211b1300
13944250
14662ad2
15486a4c
hex34df70

3465072 has 80 divisors (see below), whose sum is σ = 10728480. Its totient is φ = 1064448.

The previous prime is 3465071. The next prime is 3465079. The reversal of 3465072 is 2705643.

It is a happy number.

3465072 is a `hidden beast` number, since 3 + 4 + 650 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5308 + ... + 5924.

It is an arithmetic number, because the mean of its divisors is an integer number (134106).

Almost surely, 23465072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364240).

3465072 is an abundant number, since it is smaller than the sum of its proper divisors (7263408).

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

3465072 is a wasteful number, since it uses less digits than its factorization.

3465072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3465072 is about 1861.4703865493. The cubic root of 3465072 is about 151.3227021109.

The spelling of 3465072 in words is "three million, four hundred sixty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 617 624 702 936 1234 1404 1851 1872 2468 2808 3702 4936 5553 5616 7404 8021 9872 11106 14808 16042 16659 22212 24063 29616 32084 33318 44424 48126 64168 66636 72189 88848 96252 128336 133272 144378 192504 216567 266544 288756 385008 433134 577512 866268 1155024 1732536 3465072