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34452000156 = 2237294761871
BaseRepresentation
bin100000000101011111…
…111100110110011100
310021221000111221110210
4200011133330312130
51031024203001111
623454345532420
72326516112100
oct400537746634
9107830457423
1034452000156
111367a28a702
126815aa4110
133330833a12
14194b81b900
15d698d50a6
hex8057fcd9c

34452000156 has 72 divisors (see below), whose sum is σ = 93612830976. Its totient is φ = 9832875360.

The previous prime is 34452000101. The next prime is 34452000157. The reversal of 34452000156 is 65100025443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34452000157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525901 + ... + 587771.

It is an arithmetic number, because the mean of its divisors is an integer number (1300178208).

Almost surely, 234452000156 is an apocalyptic number.

It is a pronic number, being equal to 185612×185613.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34452000156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806415488).

34452000156 is an abundant number, since it is smaller than the sum of its proper divisors (59160830820).

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

34452000156 is a wasteful number, since it uses less digits than its factorization.

34452000156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62839 (or 62830 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34452000156 its reverse (65100025443), we get a palindrome (99552025599).

The spelling of 34452000156 in words is "thirty-four billion, four hundred fifty-two million, one hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 947 1894 2841 3788 5682 6629 11364 13258 19887 26516 39774 46403 61871 79548 92806 123742 139209 185612 185613 247484 278418 371226 433097 556836 742452 866194 1299291 1732388 2598582 3031679 5197164 6063358 9095037 12126716 18190074 36380148 58591837 117183674 175775511 234367348 351551022 410142859 703102044 820285718 1230428577 1640571436 2460857154 2871000013 4921714308 5742000026 8613000039 11484000052 17226000078 34452000156