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2034123432 = 2331119405527
BaseRepresentation
bin111100100111110…
…0100001010101000
312020202120011202220
41321033210022220
513131213422212
6533502154040
7101256523005
oct17117441250
95222504686
102034123432
11954234050
12489282920
13265564143
1415421c8ac
15bd8a338c
hex793e42a8

2034123432 has 64 divisors (see below), whose sum is σ = 5839603200. Its totient is φ = 583957440.

The previous prime is 2034123409. The next prime is 2034123439. The reversal of 2034123432 is 2343214302.

It is a super-2 number, since 2×20341234322 = 8275316273222917248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2034123439) 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, 197748 + ... + 207779.

It is an arithmetic number, because the mean of its divisors is an integer number (91243800).

Almost surely, 22034123432 is an apocalyptic number.

2034123432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2034123432 is an abundant number, since it is smaller than the sum of its proper divisors (3805479768).

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

2034123432 is a wasteful number, since it uses less digits than its factorization.

2034123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405566 (or 405562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2034123432 is about 45101.2575434433. The cubic root of 2034123432 is about 1267.0461517944.

Adding to 2034123432 its reverse (2343214302), we get a palindrome (4377337734).

The spelling of 2034123432 in words is "two billion, thirty-four million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 405527 811054 1216581 1622108 2433162 3244216 4460797 4866324 7705013 8921594 9732648 13382391 15410026 17843188 23115039 26764782 30820052 35686376 46230078 53529564 61640104 84755143 92460156 107059128 169510286 184920312 254265429 339020572 508530858 678041144 1017061716 2034123432