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379043840 = 21457661
BaseRepresentation
bin10110100101111…
…100000000000000
3222102020102101202
4112211330000000
51234013400330
6101340120332
712251551040
oct2645740000
9872212352
10379043840
11184a6227a
12a6b360a8
13606b4bc6
14384ab720
1523424445
hex1697c000

379043840 has 120 divisors (see below), whose sum is σ = 1041204192. Its totient is φ = 129761280.

The previous prime is 379043837. The next prime is 379043869. The reversal of 379043840 is 48340973.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 379043794 and 379043803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573110 + ... + 573770.

Almost surely, 2379043840 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 379043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520602096).

379043840 is an abundant number, since it is smaller than the sum of its proper divisors (662160352).

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

379043840 is an frugal number, since it uses more digits than its factorization.

379043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 379043840 is about 19469.0482561424. The cubic root of 379043840 is about 723.7076238733.

The spelling of 379043840 in words is "three hundred seventy-nine million, forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 661 896 1024 1120 1280 1322 1792 2048 2240 2560 2644 3305 3584 4096 4480 4627 5120 5288 6610 7168 8192 8960 9254 10240 10576 13220 14336 16384 17920 18508 20480 21152 23135 26440 28672 35840 37016 40960 42304 46270 52880 57344 71680 74032 81920 84608 92540 105760 114688 143360 148064 169216 185080 211520 286720 296128 338432 370160 423040 573440 592256 676864 740320 846080 1184512 1353728 1480640 1692160 2369024 2707456 2961280 3384320 4738048 5414912 5922560 6768640 9476096 10829824 11845120 13537280 18952192 23690240 27074560 37904384 47380480 54149120 75808768 94760960 189521920 379043840