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68394456 = 23341323353
BaseRepresentation
bin1000001001110…
…01110111011000
311202200210120000
410010321313120
5120002110311
610441533000
71460225514
oct404716730
9152623500
1068394456
1135674849
121aaa4160
1311228ac0
149125144
156010056
hex4139dd8

68394456 has 160 divisors (see below), whose sum is σ = 215883360. Its totient is φ = 20072448.

The previous prime is 68394449. The next prime is 68394457. The reversal of 68394456 is 65449386.

It is a super-2 number, since 2×683944562 = 9355603223071872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68394457) 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 39 ways as a sum of consecutive naturals, for example, 193576 + ... + 193928.

It is an arithmetic number, because the mean of its divisors is an integer number (1349271).

Almost surely, 268394456 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 68394456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107941680).

68394456 is an abundant number, since it is smaller than the sum of its proper divisors (147488904).

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

68394456 is a wasteful number, since it uses less digits than its factorization.

68394456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 68394456 is about 8270.0940744347. The cubic root of 68394456 is about 408.9532210574.

It can be divided in two parts, 6839445 and 6, that added together give a triangular number (6839451 = T3698).

The spelling of 68394456 in words is "sixty-eight million, three hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 81 92 104 108 117 138 156 162 184 207 216 234 276 299 312 324 351 353 414 468 552 598 621 648 702 706 828 897 936 1053 1059 1196 1242 1404 1412 1656 1794 1863 2106 2118 2392 2484 2691 2808 2824 3177 3588 3726 4212 4236 4589 4968 5382 6354 7176 7452 8073 8119 8424 8472 9178 9531 10764 12708 13767 14904 16146 16238 18356 19062 21528 24219 24357 25416 27534 28593 32292 32476 36712 38124 41301 48438 48714 55068 57186 64584 64952 73071 76248 82602 96876 97428 105547 110136 114372 123903 146142 165204 193752 194856 211094 219213 228744 247806 292284 316641 330408 371709 422188 438426 495612 584568 633282 657639 743418 844376 876852 949923 991224 1266564 1315278 1486836 1753704 1899846 2533128 2630556 2849769 2973672 3799692 5261112 5699538 7599384 8549307 11399076 17098614 22798152 34197228 68394456