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464213730 = 235172931387
BaseRepresentation
bin11011101010110…
…101011011100010
31012100111111112010
4123222311123202
51422314314410
6114021413350
714334515541
oct3352653342
91170444463
10464213730
11219044712
1210b56a256
13752354a6
144591c158
152ab49c20
hex1bab56e2

464213730 has 64 divisors (see below), whose sum is σ = 1220365440. Its totient is φ = 112487424.

The previous prime is 464213723. The next prime is 464213753. The reversal of 464213730 is 37312464.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 904 + ... + 30483.

It is an arithmetic number, because the mean of its divisors is an integer number (19068210).

Almost surely, 2464213730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464213730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610182720).

464213730 is an abundant number, since it is smaller than the sum of its proper divisors (756151710).

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

464213730 is a wasteful number, since it uses less digits than its factorization.

464213730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31443.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 464213730 is about 21545.6197404484. The cubic root of 464213730 is about 774.2941780492.

The spelling of 464213730 in words is "four hundred sixty-four million, two hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2465 2958 4930 7395 14790 31387 62774 94161 156935 188322 313870 470805 533579 910223 941610 1067158 1600737 1820446 2667895 2730669 3201474 4551115 5335790 5461338 8003685 9102230 13653345 15473791 16007370 27306690 30947582 46421373 77368955 92842746 154737910 232106865 464213730