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3628134756 = 2232100392
BaseRepresentation
bin1101100001000000…
…1111000101100100
3100100211222100020100
43120100033011210
524412300303011
61400003304100
7155623431231
oct33020170544
910324870210
103628134756
1115a1a95384
1285307b030
1345a8810cc
14265bd4788
151637bcd56
hexd840f164

3628134756 has 27 divisors (see below), whose sum is σ = 9172032051. Its totient is φ = 1209257784.

The previous prime is 3628134743. The next prime is 3628134773. The reversal of 3628134756 is 6574318263.

The square root of 3628134756 is 60234.

It is a perfect power (a square), and thus also a powerful number.

3628134756 is a `hidden beast` number, since 3 + 628 + 13 + 4 + 7 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356385 + ... + 366423.

Almost surely, 23628134756 is an apocalyptic number.

3628134756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3628134756 is the 60234-th square number.

It is an amenable number.

3628134756 is an abundant number, since it is smaller than the sum of its proper divisors (5543897295).

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

3628134756 is an equidigital number, since it uses as much as digits as its factorization.

3628134756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20088 (or 10044 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 3628134756 is about 1536.6010881890.

It can be divided in two parts, 3628 and 134756, that added together give a square (138384 = 3722).

The spelling of 3628134756 in words is "three billion, six hundred twenty-eight million, one hundred thirty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 10039 20078 30117 40156 60234 90351 120468 180702 361404 100781521 201563042 302344563 403126084 604689126 907033689 1209378252 1814067378 3628134756