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3408414640 = 24571600073
BaseRepresentation
bin1100101100101000…
…0100011110110000
322210112112101220021
43023022010132300
523440023232030
61322114053224
7150315021631
oct31312043660
98715471807
103408414640
111499a63404
127b157a214
134241b0bc7
1424495b888
1514e36a97a
hexcb2847b0

3408414640 has 40 divisors (see below), whose sum is σ = 8036191008. Its totient is φ = 1344161280.

The previous prime is 3408414599. The next prime is 3408414727. The reversal of 3408414640 is 464148043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3408414596 and 3408414605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294357 + ... + 305716.

Almost surely, 23408414640 is an apocalyptic number.

It is an amenable number.

3408414640 is an abundant number, since it is smaller than the sum of its proper divisors (4627776368).

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

3408414640 is a wasteful number, since it uses less digits than its factorization.

3408414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600157 (or 600151 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 3408414640 is about 58381.6293023756. The cubic root of 3408414640 is about 1504.9340692155.

The spelling of 3408414640 in words is "three billion, four hundred eight million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 600073 1200146 2400292 3000365 4800584 6000730 9601168 12001460 24002920 42605183 48005840 85210366 170420732 213025915 340841464 426051830 681682928 852103660 1704207320 3408414640