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345016542 = 23132597379
BaseRepresentation
bin10100100100001…
…000100011011110
3220001012122201110
4110210020203132
51201311012132
654122522450
711356410063
oct2444104336
9801178643
10345016542
11167831042
1297666426
135662cb00
1433b70c6a
15204521cc
hex149088de

345016542 has 96 divisors (see below), whose sum is σ = 780019200. Its totient is φ = 101627136.

The previous prime is 345016523. The next prime is 345016559. The reversal of 345016542 is 245610543.

345016542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4367259 + ... + 4367337.

It is an arithmetic number, because the mean of its divisors is an integer number (8125200).

Almost surely, 2345016542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345016542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390009600).

345016542 is an abundant number, since it is smaller than the sum of its proper divisors (435002658).

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

345016542 is a wasteful number, since it uses less digits than its factorization.

345016542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 345016542 is about 18574.6209113403. The cubic root of 345016542 is about 701.3691176998.

The spelling of 345016542 in words is "three hundred forty-five million, sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 73 78 79 118 146 158 169 177 219 237 338 354 438 474 507 767 949 1014 1027 1534 1898 2054 2301 2847 3081 4307 4602 4661 5694 5767 6162 8614 9322 9971 11534 12337 12921 13351 13983 17301 19942 24674 25842 26702 27966 29913 34602 37011 40053 55991 59826 60593 74022 74971 80106 111982 121186 149942 167973 181779 224913 335946 340253 363558 449826 680506 727883 787709 974623 1020759 1455766 1575418 1949246 2041518 2183649 2363127 2923869 4367298 4423289 4726254 5847738 8846578 13269867 26539734 57502757 115005514 172508271 345016542