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345795480 = 23345106727
BaseRepresentation
bin10100100111000…
…110101110011000
3220002200020020000
4110213012232120
51202010423410
654151333000
711366133042
oct2447065630
9802606200
10345795480
11168213298
1297981160
1356843514
1433cd4a92
1520557dc0
hex149c6b98

345795480 has 80 divisors (see below), whose sum is σ = 1162267920. Its totient is φ = 92211264.

The previous prime is 345795469. The next prime is 345795491. The reversal of 345795480 is 84597543.

345795480 is a `hidden beast` number, since 34 + 5 + 79 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345795469) and next prime (345795491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50124 + ... + 56603.

It is an arithmetic number, because the mean of its divisors is an integer number (14528349).

Almost surely, 2345795480 is an apocalyptic number.

345795480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345795480 is an abundant number, since it is smaller than the sum of its proper divisors (816472440).

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

345795480 is a wasteful number, since it uses less digits than its factorization.

345795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106750 (or 106737 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 345795480 is about 18595.5768934443. The cubic root of 345795480 is about 701.8965440353.

The spelling of 345795480 in words is "three hundred forty-five million, seven hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 106727 213454 320181 426908 533635 640362 853816 960543 1067270 1280724 1600905 1921086 2134540 2561448 2881629 3201810 3842172 4269080 4802715 5763258 6403620 7684344 8644887 9605430 11526516 12807240 14408145 17289774 19210860 23053032 28816290 34579548 38421720 43224435 57632580 69159096 86448870 115265160 172897740 345795480