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78394368 = 2103132151
BaseRepresentation
bin1001010110000…
…11010000000000
312110111211212010
410223003100000
5130032104433
611440132520
71641225003
oct453032000
9173454763
1078394368
1140284938
1222307140
131331a600
14a5a953a
156d37e63
hex4ac3400

78394368 has 132 divisors (see below), whose sum is σ = 227757408. Its totient is φ = 23961600.

The previous prime is 78394343. The next prime is 78394369. The reversal of 78394368 is 86349387.

It is a super-2 number, since 2×783943682 = 12291353868238848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78394369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519093 + ... + 519243.

Almost surely, 278394368 is an apocalyptic number.

78394368 is a gapful number since it is divisible by the number (78) 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 78394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113878704).

78394368 is an abundant number, since it is smaller than the sum of its proper divisors (149363040).

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

78394368 is a wasteful number, since it uses less digits than its factorization.

78394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 78394368 is about 8854.0594079778. The cubic root of 78394368 is about 427.9847433930.

The spelling of 78394368 in words is "seventy-eight million, three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 169 192 208 256 302 312 338 384 416 453 507 512 604 624 676 768 832 906 1014 1024 1208 1248 1352 1536 1664 1812 1963 2028 2416 2496 2704 3072 3328 3624 3926 4056 4832 4992 5408 5889 6656 7248 7852 8112 9664 9984 10816 11778 13312 14496 15704 16224 19328 19968 21632 23556 25519 28992 31408 32448 38656 39936 43264 47112 51038 57984 62816 64896 76557 77312 86528 94224 102076 115968 125632 129792 153114 154624 173056 188448 204152 231936 251264 259584 306228 376896 408304 463872 502528 519168 612456 753792 816608 1005056 1224912 1507584 1633216 2010112 2449824 3015168 3266432 4899648 6030336 6532864 9799296 13065728 19598592 26131456 39197184 78394368