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34031034150 = 23527322713691
BaseRepresentation
bin11111101100011010…
…000101111100100110
310020211200101122200020
4133230122011330212
51024143421043100
623344511100010
72313215006001
oct375432057446
9106750348606
1034031034150
11134836a4713
126718b11606
1332945613c9
14190b95a538
15d4297e5a0
hex7ec685f26

34031034150 has 96 divisors (see below), whose sum is σ = 85936249728. Its totient is φ = 8910547200.

The previous prime is 34031034131. The next prime is 34031034259. The reversal of 34031034150 is 5143013043.

It is a happy number.

It is a super-2 number, since 2×340310341502 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34031034150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478805 + ... + 2492495.

It is an arithmetic number, because the mean of its divisors is an integer number (895169268).

Almost surely, 234031034150 is an apocalyptic number.

34031034150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34031034150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42968124864).

34031034150 is an abundant number, since it is smaller than the sum of its proper divisors (51905215578).

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

34031034150 is a wasteful number, since it uses less digits than its factorization.

34031034150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14006 (or 14001 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34031034150 its reverse (5143013043), we get a palindrome (39174047193).

The spelling of 34031034150 in words is "thirty-four billion, thirty-one million, thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 227 365 438 454 681 730 1095 1135 1362 1825 2190 2270 3405 3650 5475 5675 6810 10950 11350 13691 16571 17025 27382 33142 34050 41073 49713 68455 82146 82855 99426 136910 165710 205365 248565 342275 410730 414275 497130 684550 828550 999443 1026825 1242825 1998886 2053650 2485650 2998329 3107857 4997215 5996658 6215714 9323571 9994430 14991645 15539285 18647142 24986075 29983290 31078570 46617855 49972150 74958225 77696425 93235710 149916450 155392850 226873561 233089275 453747122 466178550 680620683 1134367805 1361241366 2268735610 3403103415 5671839025 6806206830 11343678050 17015517075 34031034150