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381197232 = 243313103659
BaseRepresentation
bin10110101110001…
…001101110110000
3222120021211022000
4112232021232300
51240041302412
6101454214000
712306060123
oct2656115660
9876254260
10381197232
111861a3139
12a77b4300
1360c8a0c0
14388ac3ba
15236ec4dc
hex16b89bb0

381197232 has 160 divisors (see below), whose sum is σ = 1191590400. Its totient is φ = 115976448.

The previous prime is 381197221. The next prime is 381197233. The reversal of 381197232 is 232791183.

It is a super-2 number, since 2×3811972322 = 290622659368923648, which contains 22 as substring.

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 (381197233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578119 + ... + 578777.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2381197232 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 381197232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595795200).

381197232 is an abundant number, since it is smaller than the sum of its proper divisors (810393168).

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

381197232 is a wasteful number, since it uses less digits than its factorization.

381197232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 381197232 is about 19524.2728929914. The cubic root of 381197232 is about 725.0755257031.

The spelling of 381197232 in words is "three hundred eighty-one million, one hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 103 104 108 117 144 156 206 208 216 234 309 312 351 412 432 468 618 624 659 702 824 927 936 1236 1318 1339 1404 1648 1854 1872 1977 2472 2636 2678 2781 2808 3708 3954 4017 4944 5272 5356 5562 5616 5931 7416 7908 8034 8567 10544 10712 11124 11862 12051 14832 15816 16068 17134 17793 21424 22248 23724 24102 25701 31632 32136 34268 35586 36153 44496 47448 48204 51402 64272 67877 68536 71172 72306 77103 94896 96408 102804 135754 137072 142344 144612 154206 192816 203631 205608 231309 271508 284688 289224 308412 407262 411216 462618 543016 578448 610893 616824 814524 882401 925236 1086032 1221786 1233648 1629048 1764802 1832679 1850472 2443572 2647203 3258096 3529604 3665358 3700944 4887144 5294406 7059208 7330716 7941609 9774288 10588812 14118416 14661432 15883218 21177624 23824827 29322864 31766436 42355248 47649654 63532872 95299308 127065744 190598616 381197232