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345113132 = 227132393967
BaseRepresentation
bin10100100100100…
…000001000101100
3220001101120012212
4110210200020230
51201322110012
654124545552
711360261510
oct2444401054
9801346185
10345113132
11167897671
12976b22b8
1356664a70
1433b98140
1520470b22
hex1492022c

345113132 has 48 divisors (see below), whose sum is σ = 746618880. Its totient is φ = 135922752.

The previous prime is 345113117. The next prime is 345113189. The reversal of 345113132 is 231311543.

345113132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 345113098 and 345113107.

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, 85013 + ... + 88979.

It is an arithmetic number, because the mean of its divisors is an integer number (15554560).

Almost surely, 2345113132 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 345113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373309440).

345113132 is an abundant number, since it is smaller than the sum of its proper divisors (401505748).

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

345113132 is a wasteful number, since it uses less digits than its factorization.

345113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4228 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 345113132 is about 18577.2207824529. The cubic root of 345113132 is about 701.4345627958.

Adding to 345113132 its reverse (231311543), we get a palindrome (576424675).

The spelling of 345113132 in words is "three hundred forty-five million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 239 364 478 956 1673 3107 3346 3967 6214 6692 7934 12428 15868 21749 27769 43498 51571 55538 86996 103142 111076 206284 360997 721994 948113 1443988 1896226 3792452 6636791 12325469 13273582 24650938 26547164 49301876 86278283 172556566 345113132