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730263168 = 27331311613
BaseRepresentation
bin101011100001101…
…110111010000000
31212220010012202000
4223201232322000
52443421410133
6200244024000
724045064065
oct5341567200
91786105660
10730263168
1134523a588
12184692000
13b83a70ab
146cdb4c6c
154419e413
hex2b86ee80

730263168 has 128 divisors (see below), whose sum is σ = 2173089600. Its totient is φ = 241413120.

The previous prime is 730263151. The next prime is 730263199. The reversal of 730263168 is 861362037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 451930 + ... + 453542.

Almost surely, 2730263168 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 730263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086544800).

730263168 is an abundant number, since it is smaller than the sum of its proper divisors (1442826432).

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

730263168 is a wasteful number, since it uses less digits than its factorization.

730263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 730263168 is about 27023.3818757016. The cubic root of 730263168 is about 900.5195222719.

The spelling of 730263168 in words is "seven hundred thirty million, two hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 262 288 384 393 432 524 576 786 864 1048 1152 1179 1572 1613 1728 2096 2358 3144 3226 3456 3537 4192 4716 4839 6288 6452 7074 8384 9432 9678 12576 12904 14148 14517 16768 18864 19356 25152 25808 28296 29034 37728 38712 43551 50304 51616 56592 58068 75456 77424 87102 103232 113184 116136 150912 154848 174204 206464 211303 226368 232272 309696 348408 422606 452736 464544 619392 633909 696816 845212 929088 1267818 1393632 1690424 1858176 1901727 2535636 2787264 3380848 3803454 5071272 5574528 5705181 6761696 7606908 10142544 11410362 13523392 15213816 20285088 22820724 27046784 30427632 40570176 45641448 60855264 81140352 91282896 121710528 182565792 243421056 365131584 730263168