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379731924 = 22321113174339
BaseRepresentation
bin10110101000100…
…011111111010100
3222110112101021100
4112220203333110
51234202410144
6101402550100
712260445105
oct2650437724
9873471240
10379731924
11185392240
12a7208330
1360896160
143860a3ac
152350d269
hex16a23fd4

379731924 has 144 divisors (see below), whose sum is σ = 1194298560. Its totient is φ = 99947520.

The previous prime is 379731923. The next prime is 379731949. The reversal of 379731924 is 429137973.

It is a self number, because there is not a number n which added to its sum of digits gives 379731924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379731923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85347 + ... + 89685.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

Almost surely, 2379731924 is an apocalyptic number.

379731924 is a gapful number since it is divisible by the number (34) 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 379731924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280).

379731924 is an abundant number, since it is smaller than the sum of its proper divisors (814566636).

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

379731924 is a wasteful number, since it uses less digits than its factorization.

379731924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4385 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 379731924 is about 19486.7114721802. The cubic root of 379731924 is about 724.1452782750.

It can be divided in two parts, 3797 and 31924, that added together give a square (35721 = 1892).

The spelling of 379731924 in words is "three hundred seventy-nine million, seven hundred thirty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4339 4862 5148 6732 7293 7956 8678 9724 13017 14586 17356 21879 26034 29172 39051 43758 47729 52068 56407 73763 78102 87516 95458 112814 143187 147526 156204 169221 190916 221289 225628 286374 295052 338442 429561 442578 507663 572748 620477 663867 676884 811393 859122 885156 958919 1015326 1240954 1327734 1622786 1718244 1861431 1917838 2030652 2434179 2481908 2655468 2876757 3245572 3722862 3835676 4868358 5584293 5753514 7302537 7445724 8630271 9736716 10548109 11168586 11507028 14605074 17260542 21096218 22337172 29210148 31644327 34521084 42192436 63288654 94932981 126577308 189865962 379731924