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345020520 = 233513673301
BaseRepresentation
bin10100100100001…
…001100001101000
3220001012212011210
4110210021201220
51201311124040
654122553120
711356424505
oct2444114150
9801185153
10345020520
11167834029
12976687a0
1356631870
1433b724ac
1520453480
hex14909868

345020520 has 128 divisors (see below), whose sum is σ = 1131661440. Its totient is φ = 83635200.

The previous prime is 345020509. The next prime is 345020521. The reversal of 345020520 is 25020543.

345020520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345020521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102870 + ... + 106170.

It is an arithmetic number, because the mean of its divisors is an integer number (8841105).

Almost surely, 2345020520 is an apocalyptic number.

345020520 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 345020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565830720).

345020520 is an abundant number, since it is smaller than the sum of its proper divisors (786640920).

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

345020520 is a wasteful number, since it uses less digits than its factorization.

345020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 345020520 is about 18574.7279926248. The cubic root of 345020520 is about 701.3718132572.

The spelling of 345020520 in words is "three hundred forty-five million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 402 520 536 670 780 804 871 1005 1340 1560 1608 1742 2010 2613 2680 3301 3484 4020 4355 5226 6602 6968 8040 8710 9903 10452 13065 13204 16505 17420 19806 20904 26130 26408 33010 34840 39612 42913 49515 52260 66020 79224 85826 99030 104520 128739 132040 171652 198060 214565 221167 257478 343304 396120 429130 442334 514956 643695 663501 858260 884668 1029912 1105835 1287390 1327002 1716520 1769336 2211670 2574780 2654004 2875171 3317505 4423340 5149560 5308008 5750342 6635010 8625513 8846680 11500684 13270020 14375855 17251026 23001368 26540040 28751710 34502052 43127565 57503420 69004104 86255130 115006840 172510260 345020520