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3145264344 = 23344853803
BaseRepresentation
bin1011101101111000…
…1110110011011000
322010012100222120000
42323132032303120
522420141424334
61240033533000
7140641206615
oct27336166330
98105328500
103145264344
111374468722
12739414160
133b1815a81
1421ba1b50c
151361da299
hexbb78ecd8

3145264344 has 40 divisors (see below), whose sum is σ = 8809654260. Its totient is φ = 1048421232.

The previous prime is 3145264327. The next prime is 3145264363. The reversal of 3145264344 is 4434625413.

3145264344 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 2 + 643 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3145264299 and 3145264308.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2426254 + ... + 2427549.

Almost surely, 23145264344 is an apocalyptic number.

It is an amenable number.

3145264344 is an abundant number, since it is smaller than the sum of its proper divisors (5664389916).

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

3145264344 is a wasteful number, since it uses less digits than its factorization.

3145264344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853821 (or 4853808 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3145264344 is about 56082.6563564887. The cubic root of 3145264344 is about 1465.1622388633.

Adding to 3145264344 its reverse (4434625413), we get a palindrome (7579889757).

The spelling of 3145264344 in words is "three billion, one hundred forty-five million, two hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4853803 9707606 14561409 19415212 29122818 38830424 43684227 58245636 87368454 116491272 131052681 174736908 262105362 349473816 393158043 524210724 786316086 1048421448 1572632172 3145264344