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3403968640 = 27531171571
BaseRepresentation
bin1100101011100100…
…0111000010000000
322210020011112010121
43022321013002000
523432403444030
61321434510024
7150232153552
oct31271070200
98706145117
103403968640
1114974a7026
127abb95314
134232b5337
142441214d2
1514dc8d47a
hexcae47080

3403968640 has 64 divisors (see below), whose sum is σ = 8400165120. Its totient is φ = 1317657600.

The previous prime is 3403968629. The next prime is 3403968679. The reversal of 3403968640 is 468693043.

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

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, 65946 + ... + 105625.

It is an arithmetic number, because the mean of its divisors is an integer number (131252580).

Almost surely, 23403968640 is an apocalyptic number.

It is an amenable number.

3403968640 is an abundant number, since it is smaller than the sum of its proper divisors (4996196480).

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

3403968640 is a wasteful number, since it uses less digits than its factorization.

3403968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171621 (or 171609 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The square root of 3403968640 is about 58343.5398309016. The cubic root of 3403968640 is about 1504.2794297471.

The spelling of 3403968640 in words is "three billion, four hundred three million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 171571 343142 686284 857855 1372568 1715710 2745136 3431420 5318701 5490272 6862840 10637402 10980544 13725680 21274804 21961088 26593505 27451360 42549608 53187010 54902720 85099216 106374020 109805440 170198432 212748040 340396864 425496080 680793728 850992160 1701984320 3403968640