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3407460490 = 257215744293
BaseRepresentation
bin1100101100011001…
…1011100010001010
322210110201221001101
43023012123202022
523434302213430
61322041412014
7150303636100
oct31306334212
98713657041
103407460490
111499471555
127b119a00a
13423c38815
1424478dc70
1514e22cdca
hexcb19b88a

3407460490 has 48 divisors (see below), whose sum is σ = 7180411752. Its totient is φ = 1160804736.

The previous prime is 3407460479. The next prime is 3407460517. The reversal of 3407460490 is 940647043.

It can be written as a sum of positive squares in 4 ways, for example, as 2986513201 + 420947289 = 54649^2 + 20517^2 .

It is a super-2 number, since 2×34074604902 = 23221573981822080200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54784 + ... + 99076.

Almost surely, 23407460490 is an apocalyptic number.

3407460490 is an abundant number, since it is smaller than the sum of its proper divisors (3772951262).

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

3407460490 is a wasteful number, since it uses less digits than its factorization.

3407460490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44471 (or 44464 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 3407460490 is about 58373.4570674035. The cubic root of 3407460490 is about 1504.7936259296.

The spelling of 3407460490 in words is "three billion, four hundred seven million, four hundred sixty thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 157 245 314 490 785 1099 1570 2198 5495 7693 10990 15386 38465 44293 76930 88586 221465 310051 442930 620102 1550255 2170357 3100510 4340714 6954001 10851785 13908002 21703570 34770005 48678007 69540010 97356014 243390035 340746049 486780070 681492098 1703730245 3407460490