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64313730 = 23351373251
BaseRepresentation
bin1111010101010…
…1100110000010
311111000110212000
43311111212002
5112431014410
610214244430
71410441405
oct365254602
9144013760
1064313730
1133337948
1219656716
131042a580
148781d3c
1559a5dc0
hex3d55982

64313730 has 128 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 15552000.

The previous prime is 64313729. The next prime is 64313749. The reversal of 64313730 is 3731346.

It is a happy number.

64313730 is a `hidden beast` number, since 643 + 13 + 7 + 3 + 0 = 666.

64313730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64313694 and 64313703.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 256105 + ... + 256355.

It is an arithmetic number, because the mean of its divisors is an integer number (1468530).

Almost surely, 264313730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64313730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93985920).

64313730 is an abundant number, since it is smaller than the sum of its proper divisors (123658110).

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

64313730 is a wasteful number, since it uses less digits than its factorization.

64313730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 64313730 is about 8019.5841538075. The cubic root of 64313730 is about 400.6525390697.

The spelling of 64313730 in words is "sixty-four million, three hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 90 117 130 135 146 195 219 234 251 270 351 365 390 438 502 585 657 702 730 753 949 1095 1170 1255 1314 1506 1755 1898 1971 2190 2259 2510 2847 3263 3285 3510 3765 3942 4518 4745 5694 6526 6570 6777 7530 8541 9490 9789 9855 11295 13554 14235 16315 17082 18323 19578 19710 22590 25623 28470 29367 32630 33885 36646 42705 48945 51246 54969 58734 67770 85410 88101 91615 97890 109938 128115 146835 164907 176202 183230 238199 256230 274845 293670 329814 440505 476398 494721 549690 714597 824535 881010 989442 1190995 1429194 1649070 2143791 2381990 2473605 3572985 4287582 4947210 6431373 7145970 10718955 12862746 21437910 32156865 64313730