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34449444 = 2232956929
BaseRepresentation
bin1000001101101…
…0100000100100
32101211012202100
42003122200210
532304340234
63230212100
7565546461
oct203324044
971735670
1034449444
111849a417
12b654030
1371a22b3
14480a668
153057399
hex20da824

34449444 has 18 divisors (see below), whose sum is σ = 87080630. Its totient is φ = 11483136.

The previous prime is 34449439. The next prime is 34449461. The reversal of 34449444 is 44494443.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 1822500 = 5712^2 + 1350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 956929 = 34449444 / (3 + 4 + 4 + 4 + 9 + 4 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34449399 and 34449408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478429 + ... + 478500.

Almost surely, 234449444 is an apocalyptic number.

It is an amenable number.

34449444 is an abundant number, since it is smaller than the sum of its proper divisors (52631186).

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

34449444 is a wasteful number, since it uses less digits than its factorization.

34449444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956939 (or 956934 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 34449444 is about 5869.3648719431. The cubic root of 34449444 is about 325.3824106103.

The spelling of 34449444 in words is "thirty-four million, four hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 956929 1913858 2870787 3827716 5741574 8612361 11483148 17224722 34449444