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3427399040 = 27513411947
BaseRepresentation
bin1100110001001001…
…1111010110000000
322211212020220121012
43030102133112000
524004403232130
61324033020052
7150635261012
oct31422372600
98755226535
103427399040
1114a974a69a
127b79b4628
134280c9c90
142472a01b2
15150d6a995
hexcc49f580

3427399040 has 64 divisors (see below), whose sum is σ = 8823926160. Its totient is φ = 1265498112.

The previous prime is 3427399039. The next prime is 3427399049. The reversal of 3427399040 is 409937243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427399049) 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, 197654 + ... + 214293.

Almost surely, 23427399040 is an apocalyptic number.

It is an amenable number.

3427399040 is an abundant number, since it is smaller than the sum of its proper divisors (5396527120).

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

3427399040 is a wasteful number, since it uses less digits than its factorization.

3427399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411979 (or 411967 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 3427399040 is about 58543.9923476355. The cubic root of 3427399040 is about 1507.7229894545.

The spelling of 3427399040 in words is "three billion, four hundred twenty-seven million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 411947 823894 1647788 2059735 3295576 4119470 5355311 6591152 8238940 10710622 13182304 16477880 21421244 26364608 26776555 32955760 42842488 52729216 53553110 65911520 85684976 107106220 131823040 171369952 214212440 263646080 342739904 428424880 685479808 856849760 1713699520 3427399040