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345257460 = 223251918097
BaseRepresentation
bin10100100101000…
…011010111110100
3220001122220012100
4110211003113310
51201341214320
654132022100
711361432342
oct2445032764
9801586170
10345257460
11167986049
1297761930
13566b5672
1433bd4992
152049d790
hex149435f4

345257460 has 36 divisors (see below), whose sum is σ = 1047281508. Its totient is φ = 92068608.

The previous prime is 345257411. The next prime is 345257477. The reversal of 345257460 is 64752543.

345257460 is a `hidden beast` number, since 3 + 4 + 525 + 74 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 166874724 = 13356^2 + 12918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958869 + ... + 959228.

It is an arithmetic number, because the mean of its divisors is an integer number (29091153).

Almost surely, 2345257460 is an apocalyptic number.

345257460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345257460 is an abundant number, since it is smaller than the sum of its proper divisors (702024048).

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

345257460 is a wasteful number, since it uses less digits than its factorization.

345257460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918112 (or 1918107 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 345257460 is about 18581.1049187071. The cubic root of 345257460 is about 701.5323302899.

The spelling of 345257460 in words is "three hundred forty-five million, two hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1918097 3836194 5754291 7672388 9590485 11508582 17262873 19180970 23017164 28771455 34525746 38361940 57542910 69051492 86314365 115085820 172628730 345257460