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3677374074 = 23111710730631
BaseRepresentation
bin1101101100110000…
…0100011001111010
3100111021121221212210
43123030010121322
530012401432244
61404522515550
7160062110133
oct33314043172
910437557783
103677374074
111617866630
12867665bb6
13467b311ba
1426c570c8a
15167c974b9
hexdb30467a

3677374074 has 64 divisors (see below), whose sum is σ = 8574999552. Its totient is φ = 1038969600.

The previous prime is 3677374073. The next prime is 3677374123. The reversal of 3677374074 is 4704737763.

3677374074 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3677374073) 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, 104739 + ... + 135369.

It is an arithmetic number, because the mean of its divisors is an integer number (133984368).

Almost surely, 23677374074 is an apocalyptic number.

3677374074 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677374074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287499776).

3677374074 is an abundant number, since it is smaller than the sum of its proper divisors (4897625478).

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

3677374074 is a wasteful number, since it uses less digits than its factorization.

3677374074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30771.

The product of its (nonzero) digits is 2074464, while the sum is 48.

The square root of 3677374074 is about 60641.3561358913. The cubic root of 3677374074 is about 1543.5212159355.

The spelling of 3677374074 in words is "three billion, six hundred seventy-seven million, three hundred seventy-four thousand, seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 187 214 321 374 561 642 1122 1177 1819 2354 3531 3638 5457 7062 10914 20009 30631 40018 60027 61262 91893 120054 183786 336941 520727 673882 1010823 1041454 1562181 2021646 3124362 3277517 5727997 6555034 9832551 11455994 17183991 19665102 34367982 36052687 55717789 72105374 108158061 111435578 167153367 216316122 334306734 612895679 1225791358 1838687037 3677374074