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379623936 = 29359271
BaseRepresentation
bin10110101000001…
…001101000000000
3222110022220010210
4112220021220000
51234140431221
6101400354120
712256515216
oct2650115000
9873286123
10379623936
1118531909a
12a7175940
1360858c63
14385bccb6
15234db276
hex16a09a00

379623936 has 120 divisors (see below), whose sum is σ = 1043263584. Its totient is φ = 122644480.

The previous prime is 379623929. The next prime is 379623941. The reversal of 379623936 is 639326973.

It is a super-2 number, since 2×3796239362 = 288228665568264192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5346781 + ... + 5346851.

Almost surely, 2379623936 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 379623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521631792).

379623936 is an abundant number, since it is smaller than the sum of its proper divisors (663639648).

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

379623936 is an frugal number, since it uses more digits than its factorization.

379623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 135 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 48.

The square root of 379623936 is about 19483.9404638795. The cubic root of 379623936 is about 724.0766277268.

The spelling of 379623936 in words is "three hundred seventy-nine million, six hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 71 96 118 128 142 177 192 213 236 256 284 354 384 426 472 512 568 708 768 852 944 1136 1416 1536 1704 1888 2272 2832 3408 3481 3776 4189 4544 5664 6816 6962 7552 8378 9088 10443 11328 12567 13632 13924 15104 16756 18176 20886 22656 25134 27264 27848 30208 33512 36352 41772 45312 50268 54528 55696 67024 83544 90624 100536 109056 111392 134048 167088 201072 222784 247151 268096 334176 402144 445568 494302 536192 668352 741453 804288 891136 988604 1072384 1336704 1482906 1608576 1782272 1977208 2144768 2673408 2965812 3217152 3954416 5346816 5931624 6434304 7908832 11863248 15817664 23726496 31635328 47452992 63270656 94905984 126541312 189811968 379623936