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34228284772 = 221117179255641
BaseRepresentation
bin11111111000001010…
…100010110101100100
310021100102120000122211
4133320022202311210
51030044420103042
623420234533204
72321131422463
oct377012426544
9107312500584
1034228284772
1113574a79a60
126772b97204
1332c6395156
141929c249da
15d54e44017
hex7f82a2d64

34228284772 has 48 divisors (see below), whose sum is σ = 69575526720. Its totient is φ = 14561254400.

The previous prime is 34228284737. The next prime is 34228284773. The reversal of 34228284772 is 27748282243.

It is not an unprimeable number, because it can be changed into a prime (34228284773) 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, 6072 + ... + 261712.

It is an arithmetic number, because the mean of its divisors is an integer number (1449490140).

Almost surely, 234228284772 is an apocalyptic number.

It is an amenable number.

34228284772 is an abundant number, since it is smaller than the sum of its proper divisors (35347241948).

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

34228284772 is a wasteful number, since it uses less digits than its factorization.

34228284772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255852 (or 255850 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 49.

The spelling of 34228284772 in words is "thirty-four billion, two hundred twenty-eight million, two hundred eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 17 22 34 44 68 179 187 358 374 716 748 1969 3043 3938 6086 7876 12172 33473 66946 133892 255641 511282 1022564 2812051 4345897 5624102 8691794 11248204 17383588 45759739 47804867 91519478 95609734 183038956 191219468 503357129 777915563 1006714258 1555831126 2013428516 3111662252 8557071193 17114142386 34228284772