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68162304 = 283731409
BaseRepresentation
bin1000001000000…
…01001100000000
311202021000002210
410010001030000
5114422143204
610432542120
71455240630
oct404011400
9152230083
1068162304
1135526391
121a9b1940
1311177232
1490a46c0
155eb6389
hex4101300

68162304 has 144 divisors (see below), whose sum is σ = 214538240. Its totient is φ = 18800640.

The previous prime is 68162261. The next prime is 68162309. The reversal of 68162304 is 40326186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68162309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166452 + ... + 166860.

Almost surely, 268162304 is an apocalyptic number.

68162304 is a gapful number since it is divisible by the number (64) 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 68162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107269120).

68162304 is an abundant number, since it is smaller than the sum of its proper divisors (146375936).

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

68162304 is a wasteful number, since it uses less digits than its factorization.

68162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68162304 is about 8256.0465114969. The cubic root of 68162304 is about 408.4899918496.

The spelling of 68162304 in words is "sixty-eight million, one hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 409 434 448 496 651 672 744 768 818 868 896 992 1227 1302 1344 1488 1636 1736 1792 1984 2454 2604 2688 2863 2976 3272 3472 3968 4908 5208 5376 5726 5952 6544 6944 7936 8589 9816 10416 11452 11904 12679 13088 13888 17178 19632 20832 22904 23808 25358 26176 27776 34356 38037 39264 41664 45808 50716 52352 55552 68712 76074 78528 83328 88753 91616 101432 104704 137424 152148 157056 166656 177506 183232 202864 266259 274848 304296 314112 355012 366464 405728 532518 549696 608592 710024 732928 811456 1065036 1099392 1217184 1420048 1622912 2130072 2198784 2434368 2840096 3245824 4260144 4868736 5680192 8520288 9737472 11360384 17040576 22720768 34081152 68162304