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3457145888 = 25723366239
BaseRepresentation
bin1100111000001111…
…1101110000100000
322220221020012121022
43032003331300200
524040012132023
61331014345012
7151446153350
oct31603756040
98827205538
103457145888
111514517969
1280595b168
13431313971
1424b204b60
151537947c8
hexce0fdc20

3457145888 has 48 divisors (see below), whose sum is σ = 7812080640. Its totient is φ = 1475252736.

The previous prime is 3457145873. The next prime is 3457145897. The reversal of 3457145888 is 8885417543.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19073 + ... + 85311.

It is an arithmetic number, because the mean of its divisors is an integer number (162751680).

Almost surely, 23457145888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906040320).

3457145888 is an abundant number, since it is smaller than the sum of its proper divisors (4354934752).

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

3457145888 is a wasteful number, since it uses less digits than its factorization.

3457145888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66489 (or 66481 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 53.

The square root of 3457145888 is about 58797.4989944300. The cubic root of 3457145888 is about 1512.0723396051.

The spelling of 3457145888 in words is "three billion, four hundred fifty-seven million, one hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1631 1864 3262 3728 6524 7456 13048 26096 52192 66239 132478 264956 463673 529912 927346 1059824 1854692 2119648 3709384 7418768 14837536 15433687 30867374 61734748 108035809 123469496 216071618 246938992 432143236 493877984 864286472 1728572944 3457145888