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363725064 = 233217297161
BaseRepresentation
bin10101101011100…
…000000100001000
3221100102010222200
4111223200010020
51221103200224
6100031520200
712004416633
oct2553400410
9840363880
10363725064
1117734a02a
12a1989060
135a480441
1436440c1a
1521dea5c9
hex15ae0108

363725064 has 48 divisors (see below), whose sum is σ = 1043038620. Its totient is φ = 114109440.

The previous prime is 363725039. The next prime is 363725069. The reversal of 363725064 is 460527363.

It can be written as a sum of positive squares in 2 ways, for example, as 287302500 + 76422564 = 16950^2 + 8742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (363725069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147357 + ... + 149804.

Almost surely, 2363725064 is an apocalyptic number.

363725064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

363725064 is an abundant number, since it is smaller than the sum of its proper divisors (679313556).

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

363725064 is a wasteful number, since it uses less digits than its factorization.

363725064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297190 (or 297183 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 363725064 is about 19071.5773862573. The cubic root of 363725064 is about 713.8238861355.

The spelling of 363725064 in words is "three hundred sixty-three million, seven hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 297161 594322 891483 1188644 1782966 2377288 2674449 3565932 5051737 5348898 7131864 10103474 10697796 15155211 20206948 21395592 30310422 40413896 45465633 60620844 90931266 121241688 181862532 363725064