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378394368 = 2831147953
BaseRepresentation
bin10110100011011…
…101011100000000
3222101000102111020
4112203131130000
51233332104433
6101314145440
712243204402
oct2643353400
9871012436
10378394368
11184659320
12a6882280
13605183c1
143837cb72
1523346cb3
hex168dd700

378394368 has 144 divisors (see below), whose sum is σ = 1123186176. Its totient is φ = 112107520.

The previous prime is 378394363. The next prime is 378394369. The reversal of 378394368 is 863493873.

It is a self number, because there is not a number n which added to its sum of digits gives 378394368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378394363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396580 + ... + 397532.

It is an arithmetic number, because the mean of its divisors is an integer number (7799904).

Almost surely, 2378394368 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 378394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561593088).

378394368 is an abundant number, since it is smaller than the sum of its proper divisors (744791808).

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

378394368 is a wasteful number, since it uses less digits than its factorization.

378394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 378394368 is about 19452.3615018845. The cubic root of 378394368 is about 723.2940423820.

The spelling of 378394368 in words is "three hundred seventy-eight million, three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 256 264 282 352 376 384 517 528 564 704 752 768 953 1034 1056 1128 1408 1504 1551 1906 2068 2112 2256 2816 2859 3008 3102 3812 4136 4224 4512 5718 6016 6204 7624 8272 8448 9024 10483 11436 12032 12408 15248 16544 18048 20966 22872 24816 30496 31449 33088 36096 41932 44791 45744 49632 60992 62898 66176 83864 89582 91488 99264 121984 125796 132352 134373 167728 179164 182976 198528 243968 251592 268746 335456 358328 365952 397056 492701 503184 537492 670912 716656 731904 985402 1006368 1074984 1341824 1433312 1478103 1970804 2012736 2149968 2683648 2866624 2956206 3941608 4025472 4299936 5733248 5912412 7883216 8050944 8599872 11466496 11824824 15766432 17199744 23649648 31532864 34399488 47299296 63065728 94598592 126131456 189197184 378394368