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379452864 = 2637253761
BaseRepresentation
bin10110100111011…
…111110111000000
3222110000012110210
4112213133313000
51234114442424
6101352554120
712255203400
oct2647376700
9873005423
10379452864
1118521160a
12a70b2940
13607c912b
1438576800
15234a5729
hex169dfdc0

379452864 has 168 divisors, whose sum is σ = 1191481488. Its totient is φ = 106229760.

The previous prime is 379452851. The next prime is 379452877. The reversal of 379452864 is 468254973.

It is an interprime number because it is at equal distance from previous prime (379452851) and next prime (379452877).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498244 + ... + 499004.

Almost surely, 2379452864 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 379452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595740744).

379452864 is an abundant number, since it is smaller than the sum of its proper divisors (812028624).

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

379452864 is a wasteful number, since it uses less digits than its factorization.

379452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 826 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 379452864 is about 19479.5498921305. The cubic root of 379452864 is about 723.9678465213.

The spelling of 379452864 in words is "three hundred seventy-nine million, four hundred fifty-two thousand, eight hundred sixty-four".