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379197952 = 297313413
BaseRepresentation
bin10110100110100…
…001101000000000
3222102112020210121
4112212201220000
51234033313302
6101343310024
712253062250
oct2646415000
9872466717
10379197952
11185058041
12a6bab314
136073a0b3
143850b960
1523454e37
hex169a1a00

379197952 has 80 divisors (see below), whose sum is σ = 894085632. Its totient is φ = 157224960.

The previous prime is 379197943. The next prime is 379197961. The reversal of 379197952 is 259791973.

It is an interprime number because it is at equal distance from previous prime (379197943) and next prime (379197961).

It is a self number, because there is not a number n which added to its sum of digits gives 379197952.

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, 109398 + ... + 112810.

Almost surely, 2379197952 is an apocalyptic number.

379197952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447042816).

379197952 is an abundant number, since it is smaller than the sum of its proper divisors (514887680).

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

379197952 is an equidigital number, since it uses as much as digits as its factorization.

379197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3453 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 52.

The square root of 379197952 is about 19473.0057258760. The cubic root of 379197952 is about 723.8056924917.

The spelling of 379197952 in words is "three hundred seventy-nine million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3413 3472 3584 3968 6826 6944 7936 13652 13888 15872 23891 27304 27776 47782 54608 55552 95564 105803 109216 111104 191128 211606 218432 382256 423212 436864 740621 764512 846424 873728 1481242 1529024 1692848 1747456 2962484 3058048 3385696 5924968 6116096 6771392 11849936 12232192 13542784 23699872 27085568 47399744 54171136 94799488 189598976 379197952