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2034412032 = 2931724583
BaseRepresentation
bin111100101000010…
…1010101000000000
312020210002211122210
41321100222220000
513131302141112
6533512302120
7101262134262
oct17120525000
95223084583
102034412032
11954410964
124893a1940
13265635603
14154295b32
15bd90db3c
hex7942aa00

2034412032 has 120 divisors (see below), whose sum is σ = 5758622496. Its totient is φ = 638107648.

The previous prime is 2034412021. The next prime is 2034412043. The reversal of 2034412032 is 2302144302.

It is an interprime number because it is at equal distance from previous prime (2034412021) and next prime (2034412043).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441613 + ... + 446195.

Almost surely, 22034412032 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 2034412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879311248).

2034412032 is an abundant number, since it is smaller than the sum of its proper divisors (3724210464).

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

2034412032 is an equidigital number, since it uses as much as digits as its factorization.

2034412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2034412032 is about 45104.4568972956. The cubic root of 2034412032 is about 1267.1060714993.

Adding to 2034412032 its reverse (2302144302), we get a palindrome (4336556334).

The spelling of 2034412032 in words is "two billion, thirty-four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1088 1156 1536 1632 1734 2176 2312 3264 3468 4352 4583 4624 6528 6936 8704 9166 9248 13056 13749 13872 18332 18496 26112 27498 27744 36664 36992 54996 55488 73328 73984 77911 109992 110976 146656 147968 155822 219984 221952 233733 293312 311644 439968 443904 467466 586624 623288 879936 934932 1173248 1246576 1324487 1759872 1869864 2346496 2493152 2648974 3519744 3739728 3973461 4986304 5297948 7039488 7479456 7946922 9972608 10595896 14958912 15893844 19945216 21191792 29917824 31787688 39890432 42383584 59835648 63575376 84767168 119671296 127150752 169534336 254301504 339068672 508603008 678137344 1017206016 2034412032