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3457900020 = 2235181318407
BaseRepresentation
bin1100111000011011…
…0101110111110100
322220222122112002010
43032012311313310
524040210300040
61331042444220
7151455444111
oct31606656764
98828575063
103457900020
111514992513
12806063670
13431518cb3
1424b35d908
15153892e80
hexce1b5df4

3457900020 has 48 divisors (see below), whose sum is σ = 9735643008. Its totient is φ = 917009280.

The previous prime is 3457899959. The next prime is 3457900031. The reversal of 3457900020 is 200097543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148344 + ... + 170063.

It is an arithmetic number, because the mean of its divisors is an integer number (202825896).

Almost surely, 23457900020 is an apocalyptic number.

3457900020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3457900020 is an abundant number, since it is smaller than the sum of its proper divisors (6277742988).

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

3457900020 is a wasteful number, since it uses less digits than its factorization.

3457900020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318600 (or 318598 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3457900020 is about 58803.9116045863. The cubic root of 3457900020 is about 1512.1822780023.

Adding to 3457900020 its reverse (200097543), we get a palindrome (3657997563).

The spelling of 3457900020 in words is "three billion, four hundred fifty-seven million, nine hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 318407 636814 955221 1273628 1592035 1910442 3184070 3820884 4776105 6368140 9552210 19104420 57631667 115263334 172895001 230526668 288158335 345790002 576316670 691580004 864475005 1152633340 1728950010 3457900020