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40345960 = 2352934781
BaseRepresentation
bin1001100111101…
…0000101101000
32210220210020211
42121322011220
540312032320
64000430504
7666635464
oct231720550
983823224
1040345960
1120857576
1211618434
138488165
1455034a4
15381e55a
hex267a168

40345960 has 32 divisors (see below), whose sum is σ = 93911400. Its totient is φ = 15581440.

The previous prime is 40345901. The next prime is 40345967. The reversal of 40345960 is 6954304.

It can be written as a sum of positive squares in 4 ways, for example, as 29964676 + 10381284 = 5474^2 + 3222^2 .

It is not an unprimeable number, because it can be changed into a prime (40345967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16231 + ... + 18550.

Almost surely, 240345960 is an apocalyptic number.

40345960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40345960 is an abundant number, since it is smaller than the sum of its proper divisors (53565440).

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

40345960 is a wasteful number, since it uses less digits than its factorization.

40345960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34821 (or 34817 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 40345960 is about 6351.8469754867. The cubic root of 40345960 is about 342.9783324888.

It can be divided in two parts, 40 and 345960, that multiplied together give a square (13838400 = 37202).

The spelling of 40345960 in words is "forty million, three hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 34781 69562 139124 173905 278248 347810 695620 1008649 1391240 2017298 4034596 5043245 8069192 10086490 20172980 40345960