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68304640 = 285174373
BaseRepresentation
bin1000001001000…
…11111100000000
311202112020100111
410010203330000
5114441222030
610440001104
71456402615
oct404437400
9152466314
1068304640
1135613318
121aa60194
13111c6c61
14910050c
155ee362a
hex4123f00

68304640 has 144 divisors (see below), whose sum is σ = 179692128. Its totient is φ = 24772608.

The previous prime is 68304631. The next prime is 68304667. The reversal of 68304640 is 4640386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935644 + ... + 935716.

It is an arithmetic number, because the mean of its divisors is an integer number (1247862).

Almost surely, 268304640 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 68304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89846064).

68304640 is an abundant number, since it is smaller than the sum of its proper divisors (111387488).

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

68304640 is a wasteful number, since it uses less digits than its factorization.

68304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 68304640 is about 8264.6621225553. The cubic root of 68304640 is about 408.7741293851.

The spelling of 68304640 in words is "sixty-eight million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 73 80 85 86 128 136 146 160 170 172 215 256 272 292 320 340 344 365 430 544 584 640 680 688 730 731 860 1088 1168 1241 1280 1360 1376 1460 1462 1720 2176 2336 2482 2720 2752 2920 2924 3139 3440 3655 4352 4672 4964 5440 5504 5840 5848 6205 6278 6880 7310 9344 9928 10880 11008 11680 11696 12410 12556 13760 14620 15695 18688 19856 21760 23360 23392 24820 25112 27520 29240 31390 39712 46720 46784 49640 50224 53363 55040 58480 62780 79424 93440 93568 99280 100448 106726 116960 125560 158848 187136 198560 200896 213452 233920 251120 266815 317696 397120 401792 426904 467840 502240 533630 794240 803584 853808 935680 1004480 1067260 1588480 1707616 2008960 2134520 3415232 4017920 4269040 6830464 8538080 13660928 17076160 34152320 68304640