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376441164 = 223211289971
BaseRepresentation
bin10110011100000…
…000100101001100
3222020100012012100
4112130000211030
51232332104124
6101204235100
712220461051
oct2634004514
9866305170
10376441164
11183544900
12a609ba90
135ccb3368
1437dd1028
15230ad1c9
hex1670094c

376441164 has 108 divisors (see below), whose sum is σ = 1058770440. Its totient is φ = 112675200.

The previous prime is 376441157. The next prime is 376441211. The reversal of 376441164 is 461144673.

376441164 is a `hidden beast` number, since 3 + 7 + 644 + 1 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387199 + ... + 388169.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2376441164 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 376441164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529385220).

376441164 is an abundant number, since it is smaller than the sum of its proper divisors (682329276).

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

376441164 is a wasteful number, since it uses less digits than its factorization.

376441164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 376441164 is about 19402.0917429024. The cubic root of 376441164 is about 722.0473901210.

The spelling of 376441164 in words is "three hundred seventy-six million, four hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 121 132 178 198 242 267 356 363 396 484 534 726 801 971 979 1068 1089 1452 1602 1942 1958 2178 2913 2937 3204 3884 3916 4356 5826 5874 8739 8811 10681 10769 11652 11748 17478 17622 21362 21538 32043 32307 34956 35244 42724 43076 64086 64614 86419 96129 96921 117491 128172 129228 172838 192258 193842 234982 259257 345676 352473 384516 387684 469964 518514 704946 777771 950609 1037028 1057419 1409892 1555542 1901218 2114838 2851827 3111084 3802436 4229676 5703654 8555481 10456699 11407308 17110962 20913398 31370097 34221924 41826796 62740194 94110291 125480388 188220582 376441164