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345381360 = 24351439089
BaseRepresentation
bin10100100101100…
…001100111110000
3220001220012011020
4110211201213300
51201404200420
654134415440
711362456512
oct2445414760
9801805136
10345381360
11167a60145
1297801580
1356729b8c
1433c27bb2
15204c5340
hex149619f0

345381360 has 40 divisors (see below), whose sum is σ = 1070682960. Its totient is φ = 92101632.

The previous prime is 345381359. The next prime is 345381383. The reversal of 345381360 is 63183543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719305 + ... + 719784.

It is an arithmetic number, because the mean of its divisors is an integer number (26767074).

Almost surely, 2345381360 is an apocalyptic number.

345381360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345381360 is an abundant number, since it is smaller than the sum of its proper divisors (725301600).

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

345381360 is a wasteful number, since it uses less digits than its factorization.

345381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439105 (or 1439099 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 345381360 is about 18584.4386517323. The cubic root of 345381360 is about 701.6162381659.

The spelling of 345381360 in words is "three hundred forty-five million, three hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1439089 2878178 4317267 5756356 7195445 8634534 11512712 14390890 17269068 21586335 23025424 28781780 34538136 43172670 57563560 69076272 86345340 115127120 172690680 345381360