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3042047232 = 2833762873
BaseRepresentation
bin1011010101010001…
…1111010100000000
321212000011000022000
42311110133110000
522212231002412
61221505344000
7135245655240
oct26524372400
97760130260
103042047232
11132117a124
1270a938000
13396316b63
1420c02db20
1512c0ec4dc
hexb551f500

3042047232 has 144 divisors (see below), whose sum is σ = 10281156480. Its totient is φ = 869142528.

The previous prime is 3042047207. The next prime is 3042047237. The reversal of 3042047232 is 2327402403.

3042047232 is a `hidden beast` number, since 3 + 0 + 420 + 4 + 7 + 232 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3042047196 and 3042047205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042047237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16948 + ... + 79820.

It is an arithmetic number, because the mean of its divisors is an integer number (71396920).

Almost surely, 23042047232 is an apocalyptic number.

3042047232 is a gapful number since it is divisible by the number (32) 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 3042047232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140578240).

3042047232 is an abundant number, since it is smaller than the sum of its proper divisors (7239109248).

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

3042047232 is an equidigital number, since it uses as much as digits as its factorization.

3042047232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62905 (or 62885 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3042047232 is about 55154.7571112411. The cubic root of 3042047232 is about 1448.9564004045.

Adding to 3042047232 its reverse (2327402403), we get a palindrome (5369449635).

The spelling of 3042047232 in words is "three billion, forty-two million, forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 62873 125746 188619 251492 377238 440111 502984 565857 754476 880222 1005968 1131714 1320333 1508952 1697571 1760444 2011936 2263428 2640666 3017904 3395142 3520888 3960999 4023872 4526856 5281332 6035808 6790284 7041776 7921998 8047744 9053712 10562664 11882997 12071616 13580568 14083552 15843996 16095488 18107424 21125328 23765994 24143232 27161136 28167104 31687992 36214848 42250656 47531988 48286464 54322272 56334208 63375984 72429696 84501312 95063976 108644544 112668416 126751968 144859392 169002624 190127952 217289088 253503936 338005248 380255904 434578176 507007872 760511808 1014015744 1521023616 3042047232