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34345304 = 2371743839
BaseRepresentation
bin1000001100000…
…1000101011000
32101121220220022
42003001011120
532243022204
63224050012
7564634040
oct203010530
971556808
1034345304
1118429154
12b603908
137166a86
1447c0720
1530365be
hex20c1158

34345304 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 13515264.

The previous prime is 34345301. The next prime is 34345307. The reversal of 34345304 is 40354343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34345301) and next prime (34345307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40517 + ... + 41355.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 234345304 is an apocalyptic number.

34345304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

34345304 is an abundant number, since it is smaller than the sum of its proper divisors (45488296).

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

34345304 is a wasteful number, since it uses less digits than its factorization.

34345304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 34345304 is about 5860.4866692110. The cubic root of 34345304 is about 325.0542047657.

Adding to 34345304 its reverse (40354343), we get a palindrome (74699647).

The spelling of 34345304 in words is "thirty-four million, three hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 839 952 1204 1462 1678 2408 2924 3356 5117 5848 5873 6712 10234 11746 14263 20468 23492 28526 36077 40936 46984 57052 72154 99841 114104 144308 199682 252539 288616 399364 505078 613309 798728 1010156 1226618 2020312 2453236 4293163 4906472 8586326 17172652 34345304