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345133362 = 237259101197
BaseRepresentation
bin10100100100100…
…101000100110010
3220001102120222010
4110210211010302
51201323231422
654125223350
711360404500
oct2444450462
9801376863
10345133362
11167900892
1297701b56
1356671032
1433ba1670
1520476b0c
hex14925132

345133362 has 96 divisors (see below), whose sum is σ = 828843840. Its totient is φ = 95491200.

The previous prime is 345133357. The next prime is 345133387. The reversal of 345133362 is 263331543.

It is a super-3 number, since 3×3451333623 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751848 + ... + 1752044.

It is an arithmetic number, because the mean of its divisors is an integer number (8633790).

Almost surely, 2345133362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345133362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414421920).

345133362 is an abundant number, since it is smaller than the sum of its proper divisors (483710478).

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

345133362 is a wasteful number, since it uses less digits than its factorization.

345133362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 345133362 is about 18577.7652585019. The cubic root of 345133362 is about 701.4482681991.

The spelling of 345133362 in words is "three hundred forty-five million, one hundred thirty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 101 118 147 177 197 202 294 303 354 394 413 591 606 707 826 1182 1239 1379 1414 2121 2478 2758 2891 4137 4242 4949 5782 5959 8274 8673 9653 9898 11623 11918 14847 17346 17877 19306 19897 23246 28959 29694 34869 35754 39794 41713 57918 59691 69738 81361 83426 119382 125139 139279 162722 244083 250278 278558 291991 417837 488166 569527 583982 835674 875973 974953 1139054 1173923 1708581 1751946 1949906 2347846 2924859 3417162 3521769 5849718 7043538 8217461 16434922 24652383 49304766 57522227 115044454 172566681 345133362