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40345216 = 271718541
BaseRepresentation
bin1001100111100…
…1111010000000
32210220202020021
42121321322000
540312021331
64000423224
7666633352
oct231717200
983822207
1040345216
1120856a5a
1211617b14
138487a12
1455030d2
15381e211
hex2679e80

40345216 has 32 divisors (see below), whose sum is σ = 85107780. Its totient is φ = 18984960.

The previous prime is 40345187. The next prime is 40345219. The reversal of 40345216 is 61254304.

It can be written as a sum of positive squares in 2 ways, for example, as 39639616 + 705600 = 6296^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40345219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7095 + ... + 11446.

Almost surely, 240345216 is an apocalyptic number.

It is an amenable number.

40345216 is an abundant number, since it is smaller than the sum of its proper divisors (44762564).

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

40345216 is a wasteful number, since it uses less digits than its factorization.

40345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18572 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 40345216 is about 6351.7884095741. The cubic root of 40345216 is about 342.9762242442.

The spelling of 40345216 in words is "forty million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 18541 37082 74164 148328 296656 315197 593312 630394 1186624 1260788 2373248 2521576 5043152 10086304 20172608 40345216