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464960340 = 2232513198701
BaseRepresentation
bin11011101101101…
…011101101010100
31012101220102200100
4123231223231110
51423012212330
6114045414100
714344045335
oct3355535524
91171812610
10464960340
11219504649
1210b86a330
1375437280
1445a7428c
152ac46060
hex1bb6bb54

464960340 has 72 divisors (see below), whose sum is σ = 1518878088. Its totient is φ = 114451200.

The previous prime is 464960329. The next prime is 464960357. The reversal of 464960340 is 43069464.

464960340 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 603 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91929744 + 373030596 = 9588^2 + 19314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464960295 and 464960304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97011 + ... + 101690.

It is an arithmetic number, because the mean of its divisors is an integer number (21095529).

Almost surely, 2464960340 is an apocalyptic number.

It is an amenable number.

464960340 is an abundant number, since it is smaller than the sum of its proper divisors (1053917748).

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

464960340 is a wasteful number, since it uses less digits than its factorization.

464960340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198729 (or 198724 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 464960340 is about 21562.9390390086. The cubic root of 464960340 is about 774.7090631852.

The spelling of 464960340 in words is "four hundred sixty-four million, nine hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 198701 397402 596103 794804 993505 1192206 1788309 1987010 2384412 2583113 2980515 3576618 3974020 5166226 5961030 7153236 7749339 8941545 10332452 11922060 12915565 15498678 17883090 23248017 25831130 30997356 35766180 38746695 46496034 51662260 77493390 92992068 116240085 154986780 232480170 464960340