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34307370 = 23252931301
BaseRepresentation
bin1000001011011…
…1110100101010
32101112222212100
42002313310222
532240313440
63223154230
7564415326
oct202676452
971488770
1034307370
11184026a9
12b5a5976
137152726
1447b0986
15302a230
hex20b7d2a

34307370 has 48 divisors (see below), whose sum is σ = 89572392. Its totient is φ = 9110400.

The previous prime is 34307341. The next prime is 34307381. The reversal of 34307370 is 7370343.

34307370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24591681 + 9715689 = 4959^2 + 3117^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25720 + ... + 27020.

Almost surely, 234307370 is an apocalyptic number.

34307370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34307370 is an abundant number, since it is smaller than the sum of its proper divisors (55265022).

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

34307370 is a wasteful number, since it uses less digits than its factorization.

34307370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 34307370 is about 5857.2493544325. The cubic root of 34307370 is about 324.9344877814.

The spelling of 34307370 in words is "thirty-four million, three hundred seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1301 1465 1758 2602 2637 2930 3903 4395 5274 6505 7806 8790 11709 13010 13185 19515 23418 26370 39030 58545 117090 381193 762386 1143579 1905965 2287158 3430737 3811930 5717895 6861474 11435790 17153685 34307370