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379704192 = 2737294871
BaseRepresentation
bin10110101000011…
…101001110000000
3222110110222020020
4112220131032000
51234201013232
6101402213440
712260301210
oct2650351600
9873428206
10379704192
1118537341a
12a71b4280
136088664a
1438600240
1523504e2c
hex16a1d380

379704192 has 128 divisors (see below), whose sum is σ = 1192665600. Its totient is φ = 104724480.

The previous prime is 379704191. The next prime is 379704271. The reversal of 379704192 is 291407973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379704191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75517 + ... + 80387.

It is an arithmetic number, because the mean of its divisors is an integer number (9317700).

Almost surely, 2379704192 is an apocalyptic number.

379704192 is a gapful number since it is divisible by the number (32) 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 379704192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596332800).

379704192 is an abundant number, since it is smaller than the sum of its proper divisors (812961408).

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

379704192 is a wasteful number, since it uses less digits than its factorization.

379704192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 379704192 is about 19485.9998973622. Note that the first 3 decimals coincide. The cubic root of 379704192 is about 724.1276496230.

The spelling of 379704192 in words is "three hundred seventy-nine million, seven hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4871 4872 5568 6496 9742 9744 11136 12992 14613 19484 19488 25984 29226 34097 38968 38976 58452 68194 77936 77952 102291 116904 136388 141259 155872 204582 233808 272776 282518 311744 409164 423777 467616 545552 565036 623488 818328 847554 935232 988813 1091104 1130072 1636656 1695108 1870464 1977626 2182208 2260144 2966439 3273312 3390216 3955252 4364416 4520288 5932878 6546624 6780432 7910504 9040576 11865756 13093248 13560864 15821008 18081152 23731512 27121728 31642016 47463024 54243456 63284032 94926048 126568064 189852096 379704192