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380946690 = 232579131409
BaseRepresentation
bin10110101101001…
…100100100000010
3222112211002121200
4112231030210002
51240010243230
6101445002030
712303664515
oct2655144402
9875732550
10380946690
11186041983
12a76b3316
1360c00057
1438844d7c
152369d160
hex16b4c902

380946690 has 96 divisors (see below), whose sum is σ = 1013126400. Its totient is φ = 99290880.

The previous prime is 380946667. The next prime is 380946733. The reversal of 380946690 is 96649083.

It is a super-2 number, since 2×3809466902 = 290240761243912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931206 + ... + 931614.

It is an arithmetic number, because the mean of its divisors is an integer number (10553400).

Almost surely, 2380946690 is an apocalyptic number.

380946690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380946690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506563200).

380946690 is an abundant number, since it is smaller than the sum of its proper divisors (632179710).

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

380946690 is a wasteful number, since it uses less digits than its factorization.

380946690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 380946690 is about 19517.8556711540. The cubic root of 380946690 is about 724.9166388498.

The spelling of 380946690 in words is "three hundred eighty million, nine hundred forty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 131 158 237 262 393 395 409 474 655 711 786 790 818 1179 1185 1227 1310 1422 1965 2045 2358 2370 2454 3555 3681 3930 4090 5895 6135 7110 7362 10349 11790 12270 18405 20698 31047 32311 36810 51745 53579 62094 64622 93141 96933 103490 107158 155235 160737 161555 186282 193866 267895 290799 310470 321474 323110 465705 482211 484665 535790 581598 803685 931410 964422 969330 1453995 1607370 2411055 2907990 4232741 4822110 8465482 12698223 21163705 25396446 38094669 42327410 63491115 76189338 126982230 190473345 380946690