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464424312 = 2331110211723
BaseRepresentation
bin11011101011101…
…000110101111000
31012100220012101110
4123223220311320
51422343034222
6114030120320
714336353512
oct3353506570
91170805343
10464424312
11219178950
1210b6500a0
13752aa2b1
1445974bb2
152ab8c30c
hex1bae8d78

464424312 has 64 divisors (see below), whose sum is σ = 1268588160. Its totient is φ = 140515200.

The previous prime is 464424287. The next prime is 464424329. The reversal of 464424312 is 213424464.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 464424312.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 268683 + ... + 270405.

It is an arithmetic number, because the mean of its divisors is an integer number (19821690).

Almost surely, 2464424312 is an apocalyptic number.

It is an amenable number.

464424312 is an abundant number, since it is smaller than the sum of its proper divisors (804163848).

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

464424312 is a wasteful number, since it uses less digits than its factorization.

464424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2760 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 464424312 is about 21550.5060729441. The cubic root of 464424312 is about 774.4112417758.

Adding to 464424312 its reverse (213424464), we get a palindrome (677848776).

The spelling of 464424312 in words is "four hundred sixty-four million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1021 1723 2042 3063 3446 4084 5169 6126 6892 8168 10338 11231 12252 13784 18953 20676 22462 24504 33693 37906 41352 44924 56859 67386 75812 89848 113718 134772 151624 227436 269544 454872 1759183 3518366 5277549 7036732 10555098 14073464 19351013 21110196 38702026 42220392 58053039 77404052 116106078 154808104 232212156 464424312