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378349056 = 29353041
BaseRepresentation
bin10110100011010…
…010011000000000
3222100221010100000
4112203102120000
51233324132211
6101313200000
712242625321
oct2643223000
9870833300
10378349056
11184628278
12a6860000
13605008a7
143836a448
1523338656
hex168d2600

378349056 has 120 divisors (see below), whose sum is σ = 1132755624. Its totient is φ = 126074880.

The previous prime is 378349043. The next prime is 378349063. The reversal of 378349056 is 650943873.

378349056 is a `hidden beast` number, since 37 + 83 + 490 + 56 = 666.

It is a super-2 number, since 2×3783490562 = 286296016352182272, which contains 22 as substring.

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, 122896 + ... + 125936.

Almost surely, 2378349056 is an apocalyptic number.

378349056 is a gapful number since it is divisible by the number (36) 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 378349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566377812).

378349056 is an abundant number, since it is smaller than the sum of its proper divisors (754406568).

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

378349056 is an frugal number, since it uses more digits than its factorization.

378349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 378349056 is about 19451.1967755200. The cubic root of 378349056 is about 723.2651702046.

The spelling of 378349056 in words is "three hundred seventy-eight million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3041 3456 3888 4608 5184 6082 6912 7776 9123 10368 12164 13824 15552 18246 20736 24328 27369 31104 36492 41472 48656 54738 62208 72984 82107 97312 109476 124416 145968 164214 194624 218952 246321 291936 328428 389248 437904 492642 583872 656856 738963 778496 875808 985284 1167744 1313712 1477926 1556992 1751616 1970568 2335488 2627424 2955852 3503232 3941136 4670976 5254848 5911704 7006464 7882272 10509696 11823408 14012928 15764544 21019392 23646816 31529088 42038784 47293632 63058176 94587264 126116352 189174528 378349056