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34374769 = 112132412
BaseRepresentation
bin1000001100100…
…0010001110001
32101200102022121
42003020101301
532244443034
63224434241
7565115662
oct203102161
971612277
1034374769
1118449300
12b618981
137177300
1447cb369
1530401b4
hex20c8471

34374769 has 27 divisors (see below), whose sum is σ = 41936097. Its totient is φ = 28142400.

The previous prime is 34374761. The next prime is 34374803. The reversal of 34374769 is 96747343.

The square root of 34374769 is 5863.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22896225 + 11478544 = 4785^2 + 3388^2 .

It is not a de Polignac number, because 34374769 - 23 = 34374761 is a prime.

It is a super-2 number, since 2×343747692 = 2363249487606722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34374761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 838389 + ... + 838429.

Almost surely, 234374769 is an apocalyptic number.

34374769 is the 5863-rd square number.

34374769 is the 2932-nd centered octagonal number.

It is an amenable number.

34374769 is a deficient number, since it is larger than the sum of its proper divisors (7561328).

34374769 is a wasteful number, since it uses less digits than its factorization.

34374769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its digits is 381024, while the sum is 43.

The cubic root of 34374769 is about 325.1471333800.

The spelling of 34374769 in words is "thirty-four million, three hundred seventy-four thousand, seven hundred sixty-nine".

Divisors: 1 11 13 41 121 143 169 451 533 1573 1681 1859 4961 5863 6929 18491 20449 21853 64493 76219 203401 240383 284089 838409 2644213 3124979 34374769