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464318040 = 23356757751
BaseRepresentation
bin11011101011001…
…110111001011000
31012100200210121110
4123223032321120
51422331134130
6114023540320
714335431624
oct3353167130
91170623543
10464318040
1121910601a
1210b5ba6a0
1375270b04
1445948184
152ab6aab0
hex1bacee58

464318040 has 64 divisors (see below), whose sum is σ = 1413768960. Its totient is φ = 121968000.

The previous prime is 464318039. The next prime is 464318053. The reversal of 464318040 is 40813464.

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

It is a junction number, because it is equal to n+sod(n) for n = 464317989 and 464318007.

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, 20836 + ... + 36915.

It is an arithmetic number, because the mean of its divisors is an integer number (22090140).

Almost surely, 2464318040 is an apocalyptic number.

464318040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464318040 is an abundant number, since it is smaller than the sum of its proper divisors (949450920).

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

464318040 is a wasteful number, since it uses less digits than its factorization.

464318040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57832 (or 57828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 464318040 is about 21548.0402821231. The cubic root of 464318040 is about 774.3521689930.

The spelling of 464318040 in words is "four hundred sixty-four million, three hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 57751 115502 173253 231004 288755 346506 462008 577510 693012 866265 1155020 1386024 1732530 2310040 3465060 3869317 6930120 7738634 11607951 15477268 19346585 23215902 30954536 38693170 46431804 58039755 77386340 92863608 116079510 154772680 232159020 464318040