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379874448 = 24341915427
BaseRepresentation
bin10110101001000…
…110110010010000
3222110210121210000
4112221012302100
51234221440243
6101410010000
712261610452
oct2651066220
9873717700
10379874448
1118547a328
12a7276900
1360915ca5
14386462d2
152353a5d3
hex16a46c90

379874448 has 100 divisors (see below), whose sum is σ = 1157408560. Its totient is φ = 119952576.

The previous prime is 379874447. The next prime is 379874497. The reversal of 379874448 is 844478973.

379874448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379874394 and 379874403.

It is not an unprimeable number, because it can be changed into a prime (379874447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16911 + ... + 32337.

Almost surely, 2379874448 is an apocalyptic number.

379874448 is a gapful number since it is divisible by the number (38) 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 379874448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578704280).

379874448 is an abundant number, since it is smaller than the sum of its proper divisors (777534112).

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

379874448 is a wasteful number, since it uses less digits than its factorization.

379874448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15451 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 379874448 is about 19490.3680827223. The cubic root of 379874448 is about 724.2358642608.

The spelling of 379874448 in words is "three hundred seventy-nine million, eight hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 12312 15427 24624 30854 46281 61708 92562 123416 138843 185124 246832 277686 293113 370248 416529 555372 586226 740496 833058 879339 1110744 1172452 1249587 1666116 1758678 2221488 2344904 2499174 2638017 3332232 3517356 4689808 4998348 5276034 6664464 7034712 7914051 9996696 10552068 14069424 15828102 19993392 21104136 23742153 31656204 42208272 47484306 63312408 94968612 126624816 189937224 379874448