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345021144 = 233135918743
BaseRepresentation
bin10100100100001…
…001101011011000
3220001012220000220
4110210021223120
51201311134034
654123000040
711356426356
oct2444115330
9801186026
10345021144
11167834546
1297669020
1356631c30
1433b727d6
1520453749
hex14909ad8

345021144 has 64 divisors (see below), whose sum is σ = 944697600. Its totient is φ = 104355456.

The previous prime is 345021107. The next prime is 345021167. The reversal of 345021144 is 441120543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 9037 + ... + 27779.

It is an arithmetic number, because the mean of its divisors is an integer number (14760900).

Almost surely, 2345021144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).

345021144 is an abundant number, since it is smaller than the sum of its proper divisors (599676456).

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

345021144 is a wasteful number, since it uses less digits than its factorization.

345021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18824 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 345021144 is about 18574.7447896330. The cubic root of 345021144 is about 701.3722360878.

Adding to 345021144 its reverse (441120543), we get a palindrome (786141687).

The spelling of 345021144 in words is "three hundred forty-five million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3068 4602 6136 9204 18408 18743 37486 56229 74972 112458 149944 224916 243659 449832 487318 730977 974636 1105837 1461954 1949272 2211674 2923908 3317511 4423348 5847816 6635022 8846696 13270044 14375881 26540088 28751762 43127643 57503524 86255286 115007048 172510572 345021144