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379621164 = 2231323313413
BaseRepresentation
bin10110101000001…
…000111100101100
3222110022202100010
4112220020330230
51234140334124
6101400333220
712256504146
oct2650107454
9873282303
10379621164
11185316aaa
12a7174210
1360857910
14385bbc96
15234da529
hex16a08f2c

379621164 has 96 divisors (see below), whose sum is σ = 1027805184. Its totient is φ = 108092160.

The previous prime is 379621103. The next prime is 379621171. The reversal of 379621164 is 461126973.

It is a super-2 number, since 2×3796211642 = 288224456313429792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109522 + ... + 112934.

It is an arithmetic number, because the mean of its divisors is an integer number (10706304).

Almost surely, 2379621164 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 379621164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513902592).

379621164 is an abundant number, since it is smaller than the sum of its proper divisors (648184020).

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

379621164 is a wasteful number, since it uses less digits than its factorization.

379621164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3485 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 379621164 is about 19483.8693282418. The cubic root of 379621164 is about 724.0748653289.

The spelling of 379621164 in words is "three hundred seventy-nine million, six hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 31 39 46 52 62 69 78 92 93 124 138 156 186 276 299 372 403 598 713 806 897 1196 1209 1426 1612 1794 2139 2418 2852 3413 3588 4278 4836 6826 8556 9269 10239 13652 18538 20478 27807 37076 40956 44369 55614 78499 88738 105803 111228 133107 156998 177476 211606 235497 266214 313996 317409 423212 470994 532428 634818 941988 1020487 1269636 1375439 2040974 2433469 2750878 3061461 4081948 4126317 4866938 5501756 6122922 7300407 8252634 9733876 12245844 14600814 16505268 29201628 31635097 63270194 94905291 126540388 189810582 379621164