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3457041480 = 233259602893
BaseRepresentation
bin1100111000001110…
…0100010001001000
322220221000220101100
43032003210101020
524040000311410
61331012221400
7151445240064
oct31603442110
98827026340
103457041480
111514456482
1280590a860
134312a8299
1424b1b8aa4
151537738c0
hexce0e4448

3457041480 has 48 divisors (see below), whose sum is σ = 11235385980. Its totient is φ = 921877632.

The previous prime is 3457041463. The next prime is 3457041481. The reversal of 3457041480 is 841407543.

3457041480 is a `hidden beast` number, since 3 + 4 + 570 + 4 + 1 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3241480356 + 215561124 = 56934^2 + 14682^2 .

It is a super-2 number, since 2×34570414802 = 23902271588881180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3457041481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4801087 + ... + 4801806.

Almost surely, 23457041480 is an apocalyptic number.

3457041480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3457041480 is an abundant number, since it is smaller than the sum of its proper divisors (7778344500).

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

3457041480 is a wasteful number, since it uses less digits than its factorization.

3457041480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602910 (or 9602903 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3457041480 is about 58796.6111268328. The cubic root of 3457041480 is about 1512.0571176038.

The spelling of 3457041480 in words is "three billion, four hundred fifty-seven million, forty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9602893 19205786 28808679 38411572 48014465 57617358 76823144 86426037 96028930 115234716 144043395 172852074 192057860 230469432 288086790 345704148 384115720 432130185 576173580 691408296 864260370 1152347160 1728520740 3457041480