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3040042032 = 243231773881
BaseRepresentation
bin1011010100110011…
…0101110000110000
321211212101010200100
42311030311300300
522211222321112
61221354352400
7135222634206
oct26514656060
97755333610
103040042032
11132002a635
1270a12b700
13395a94251
1420ba6b076
1512bd532dc
hexb5335c30

3040042032 has 120 divisors (see below), whose sum is σ = 8803686528. Its totient is φ = 978278400.

The previous prime is 3040042021. The next prime is 3040042081. The reversal of 3040042032 is 2302400403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3040041996 and 3040042014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450232 + ... + 3451112.

Almost surely, 23040042032 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 3040042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401843264).

3040042032 is an abundant number, since it is smaller than the sum of its proper divisors (5763644496).

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

3040042032 is a wasteful number, since it uses less digits than its factorization.

3040042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3040042032 is about 55136.5761722652. The cubic root of 3040042032 is about 1448.6379650688.

Adding to 3040042032 its reverse (2302400403), we get a palindrome (5342442435).

The spelling of 3040042032 in words is "three billion, forty million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 773 881 1116 1488 1546 1762 2232 2319 2643 3092 3524 4464 4638 5286 6184 6957 7048 7929 9276 10572 12368 13914 14096 15858 18552 21144 23963 27311 27828 31716 37104 42288 47926 54622 55656 63432 71889 81933 95852 109244 111312 126864 143778 163866 191704 215667 218488 245799 287556 327732 383408 431334 436976 491598 575112 655464 681013 862668 983196 1150224 1310928 1362026 1725336 1966392 2043039 2724052 3450672 3932784 4086078 5448104 6129117 8172156 10896208 12258234 16344312 21111403 24516468 32688624 42222806 49032936 63334209 84445612 98065872 126668418 168891224 190002627 253336836 337782448 380005254 506673672 760010508 1013347344 1520021016 3040042032