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345464340 = 223513442903
BaseRepresentation
bin10100100101110…
…101111000010100
3220002001101222120
4110211311320110
51201414324330
654140255540
711363253444
oct2445657024
9802041876
10345464340
11168007521
12978415b0
1356758890
1433c4a124
15204dec10
hex14975e14

345464340 has 48 divisors (see below), whose sum is σ = 1041710208. Its totient is φ = 85037184.

The previous prime is 345464333. The next prime is 345464389. The reversal of 345464340 is 43464543.

It is a super-2 number, since 2×3454643402 = 238691220423271200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220672 + ... + 222231.

It is an arithmetic number, because the mean of its divisors is an integer number (21702296).

Almost surely, 2345464340 is an apocalyptic number.

345464340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345464340 is an abundant number, since it is smaller than the sum of its proper divisors (696245868).

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

345464340 is a wasteful number, since it uses less digits than its factorization.

345464340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442928 (or 442926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 345464340 is about 18586.6710306069. The cubic root of 345464340 is about 701.6724228747.

The spelling of 345464340 in words is "three hundred forty-five million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 442903 885806 1328709 1771612 2214515 2657418 4429030 5314836 5757739 6643545 8858060 11515478 13287090 17273217 23030956 26574180 28788695 34546434 57577390 69092868 86366085 115154780 172732170 345464340