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460346340 = 223553144763
BaseRepresentation
bin11011011100000…
…101001111100100
31012002020000110110
4123130011033210
51420322040330
6113402453020
714256610416
oct3334051744
91162200413
10460346340
11216943023
1210a204170
13744b00ac
14451d29b6
152a633db0
hex1b7053e4

460346340 has 48 divisors (see below), whose sum is σ = 1313299008. Its totient is φ = 120441984.

The previous prime is 460346317. The next prime is 460346371. The reversal of 460346340 is 43643064.

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 = 460346298 and 460346307.

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, 69202 + ... + 75561.

It is an arithmetic number, because the mean of its divisors is an integer number (27360396).

Almost surely, 2460346340 is an apocalyptic number.

It is an amenable number.

460346340 is an abundant number, since it is smaller than the sum of its proper divisors (852952668).

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

460346340 is a wasteful number, since it uses less digits than its factorization.

460346340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144828 (or 144826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 460346340 is about 21455.6831632088. The cubic root of 460346340 is about 772.1379499693.

The spelling of 460346340 in words is "four hundred sixty million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 144763 289526 434289 579052 723815 868578 1447630 1737156 2171445 2895260 4342890 7672439 8685780 15344878 23017317 30689756 38362195 46034634 76724390 92069268 115086585 153448780 230173170 460346340