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34052601882 = 23134318156093
BaseRepresentation
bin11111101101101100…
…010111100000011010
310020220011222102001010
4133231230113200122
51024214431230012
623351001234350
72313566224455
oct375554274032
9106804872033
1034052601882
1113494895892
1267241929b6
133298b73290
14191077249c
15d447dec3c
hex7edb1781a

34052601882 has 64 divisors (see below), whose sum is σ = 75465726336. Its totient is φ = 10177332480.

The previous prime is 34052601871. The next prime is 34052601883. The reversal of 34052601882 is 28810625043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34052601882.

It is not an unprimeable number, because it can be changed into a prime (34052601883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579028 + ... + 635120.

It is an arithmetic number, because the mean of its divisors is an integer number (1179151974).

Almost surely, 234052601882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34052601882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37732863168).

34052601882 is an abundant number, since it is smaller than the sum of its proper divisors (41413124454).

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

34052601882 is a wasteful number, since it uses less digits than its factorization.

34052601882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56335.

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 34052601882 in words is "thirty-four billion, fifty-two million, six hundred one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 181 258 362 543 559 1086 1118 1677 2353 3354 4706 7059 7783 14118 15566 23349 46698 56093 101179 112186 168279 202358 303537 336558 607074 729209 1458418 2187627 2411999 4375254 4823998 7235997 10152833 14471994 20305666 30458499 31355987 60916998 62711974 94067961 131986829 188135922 263973658 395960487 436571819 791920974 873143638 1309715457 2619430914 5675433647 11350867294 17026300941 34052601882