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3444010407 = 34612512777
BaseRepresentation
bin1100110101000111…
…0110110110100111
322220000111212010000
43031101312312213
524023131313112
61325425032343
7151226414445
oct31521666647
98800455100
103444010407
111508065aa2
128014856b3
1342b694ba6
14249585b95
1515254c7dc
hexcd476da7

3444010407 has 40 divisors (see below), whose sum is σ = 5251820112. Its totient is φ = 2248560000.

The previous prime is 3444010403. The next prime is 3444010417. The reversal of 3444010407 is 7040104443.

It is not a de Polignac number, because 3444010407 - 22 = 3444010403 is a prime.

It is a super-2 number, since 2×34440104072 = 23722415367048611298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444010403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1238803 + ... + 1241579.

Almost surely, 23444010407 is an apocalyptic number.

3444010407 is a deficient number, since it is larger than the sum of its proper divisors (1807809705).

3444010407 is a wasteful number, since it uses less digits than its factorization.

3444010407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3444010407 is about 58685.6916718207. The cubic root of 3444010407 is about 1510.1548613888.

The spelling of 3444010407 in words is "three billion, four hundred forty-four million, ten thousand, four hundred seven".

Divisors: 1 3 9 27 61 81 183 251 549 753 1647 2259 2777 4941 6777 8331 15311 20331 24993 45933 74979 137799 169397 224937 413397 508191 697027 1240191 1524573 2091081 4573719 6273243 13721157 18819729 42518647 56459187 127555941 382667823 1148003469 3444010407