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464325240 = 23358346619
BaseRepresentation
bin11011101011010…
…000101001111000
31012100201011111010
4123223100221320
51422331401430
6114024033520
714335461621
oct3353205170
91170634433
10464325240
11219110475
1210b6028a0
1375274182
144594aa48
152ab6ccb0
hex1bad0a78

464325240 has 64 divisors (see below), whose sum is σ = 1409788800. Its totient is φ = 122325632.

The previous prime is 464325227. The next prime is 464325263. The reversal of 464325240 is 42523464.

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 = 464325198 and 464325207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13350 + ... + 33269.

It is an arithmetic number, because the mean of its divisors is an integer number (22027950).

Almost surely, 2464325240 is an apocalyptic number.

464325240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464325240 is an abundant number, since it is smaller than the sum of its proper divisors (945463560).

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

464325240 is a wasteful number, since it uses less digits than its factorization.

464325240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46716 (or 46712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 464325240 is about 21548.2073500326. The cubic root of 464325240 is about 774.3561714987.

The spelling of 464325240 in words is "four hundred sixty-four million, three hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 46619 93238 139857 186476 233095 279714 372952 466190 559428 699285 932380 1118856 1398570 1864760 2797140 3869377 5594280 7738754 11608131 15477508 19346885 23216262 30955016 38693770 46432524 58040655 77387540 92865048 116081310 154775080 232162620 464325240