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345031032 = 233197110657
BaseRepresentation
bin10100100100001…
…100000101111000
3220001020101121010
4110210030011320
51201311443112
654123113520
711356500243
oct2444140570
9801211533
10345031032
11167840a15
12976728a0
1356636598
1433b7625a
152045663c
hex1490c178

345031032 has 64 divisors (see below), whose sum is σ = 920851200. Its totient is φ = 107412480.

The previous prime is 345031021. The next prime is 345031033. The reversal of 345031032 is 230130543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345031033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27048 + ... + 37704.

It is an arithmetic number, because the mean of its divisors is an integer number (14388300).

Almost surely, 2345031032 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 345031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460425600).

345031032 is an abundant number, since it is smaller than the sum of its proper divisors (575820168).

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

345031032 is a wasteful number, since it uses less digits than its factorization.

345031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 345031032 is about 18575.0109555822. The cubic root of 345031032 is about 701.3789362592.

Adding to 345031032 its reverse (230130543), we get a palindrome (575161575).

The spelling of 345031032 in words is "three hundred forty-five million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 2698 4047 5396 8094 10657 10792 16188 21314 31971 32376 42628 63942 85256 127884 202483 255768 404966 607449 756647 809932 1214898 1513294 1619864 2269941 2429796 3026588 4539882 4859592 6053176 9079764 14376293 18159528 28752586 43128879 57505172 86257758 115010344 172515516 345031032