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734656164 = 2231137359419
BaseRepresentation
bin101011110010011…
…111011010100100
31220012101101210120
4223302133122210
53001032444124
6200522121540
724130321464
oct5362373244
91805341716
10734656164
11347770060
121860502b0
13b92847b8
146d7d9ba4
154476ad79
hex2bc9f6a4

734656164 has 96 divisors (see below), whose sum is σ = 1930521600. Its totient is φ = 215487360.

The previous prime is 734656079. The next prime is 734656177. The reversal of 734656164 is 461656437.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753147 + ... + 1753565.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2734656164 is an apocalyptic number.

734656164 is a gapful number since it is divisible by the number (74) 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 734656164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

734656164 is an abundant number, since it is smaller than the sum of its proper divisors (1195865436).

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

734656164 is a wasteful number, since it uses less digits than its factorization.

734656164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 734656164 is about 27104.5413906969. The cubic root of 734656164 is about 902.3216454259.

The spelling of 734656164 in words is "seven hundred thirty-four million, six hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 359 407 419 444 718 814 838 1077 1221 1257 1436 1628 1676 2154 2442 2514 3949 4308 4609 4884 5028 7898 9218 11847 13283 13827 15503 15796 18436 23694 26566 27654 31006 39849 46509 47388 53132 55308 62012 79698 93018 146113 150421 159396 170533 186036 292226 300842 341066 438339 451263 511599 584452 601684 682132 876678 902526 1023198 1654631 1753356 1805052 2046396 3309262 4963893 5565577 6618524 9927786 11131154 16696731 19855572 22262308 33393462 61221347 66786924 122442694 183664041 244885388 367328082 734656164