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345403560 = 233510926407
BaseRepresentation
bin10100100101100…
…111000010101000
3220001221022121110
4110211213002220
51201410403220
654135110320
711362611315
oct2445470250
9801838543
10345403560
11167a75897
12978123a0
1356737008
1433c31d0c
15204cbbe0
hex149670a8

345403560 has 64 divisors (see below), whose sum is σ = 1045756800. Its totient is φ = 91259136.

The previous prime is 345403511. The next prime is 345403573. The reversal of 345403560 is 65304543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 124 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (16339950).

Almost surely, 2345403560 is an apocalyptic number.

345403560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345403560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522878400).

345403560 is an abundant number, since it is smaller than the sum of its proper divisors (700353240).

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

345403560 is a wasteful number, since it uses less digits than its factorization.

345403560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26530 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 345403560 is about 18585.0359160266. The cubic root of 345403560 is about 701.6312703868.

The spelling of 345403560 in words is "three hundred forty-five million, four hundred three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 26407 52814 79221 105628 132035 158442 211256 264070 316884 396105 528140 633768 792210 1056280 1584420 2878363 3168840 5756726 8635089 11513452 14391815 17270178 23026904 28783630 34540356 43175445 57567260 69080712 86350890 115134520 172701780 345403560