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379707648 = 28317127229
BaseRepresentation
bin10110101000011…
…110000100000000
3222110111010222020
4112220132010000
51234201121043
6101402241440
712260314245
oct2650360400
9873433866
10379707648
11185375a81
12a71b6280
13608880a8
14386015cc
1523505e83
hex16a1e100

379707648 has 144 divisors (see below), whose sum is σ = 1083156480. Its totient is φ = 117669888.

The previous prime is 379707619. The next prime is 379707661. The reversal of 379707648 is 846707973.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 379707648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657998 + ... + 1658226.

It is an arithmetic number, because the mean of its divisors is an integer number (7521920).

Almost surely, 2379707648 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 379707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541578240).

379707648 is an abundant number, since it is smaller than the sum of its proper divisors (703448832).

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

379707648 is a wasteful number, since it uses less digits than its factorization.

379707648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 379707648 is about 19486.0885762125. The cubic root of 379707648 is about 724.1298465767.

The spelling of 379707648 in words is "three hundred seventy-nine million, seven hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 128 136 192 204 229 254 256 272 381 384 408 458 508 544 687 762 768 816 916 1016 1088 1374 1524 1632 1832 2032 2159 2176 2748 3048 3264 3664 3893 4064 4318 4352 5496 6096 6477 6528 7328 7786 8128 8636 10992 11679 12192 12954 13056 14656 15572 16256 17272 21984 23358 24384 25908 29083 29312 31144 32512 34544 43968 46716 48768 51816 58166 58624 62288 69088 87249 87936 93432 97536 103632 116332 124576 138176 174498 175872 186864 207264 232664 249152 276352 348996 373728 414528 465328 494411 498304 552704 697992 747456 829056 930656 988822 996608 1395984 1483233 1494912 1658112 1861312 1977644 2791968 2966466 2989824 3722624 3955288 5583936 5932932 7445248 7910576 11167872 11865864 15821152 22335744 23731728 31642304 47463456 63284608 94926912 126569216 189853824 379707648