Search a number
-
+
3424279464 = 233247559437
BaseRepresentation
bin1100110000011010…
…0101101110101000
322211122101102100100
43030012211232220
524003103420324
61323442105400
7150566616024
oct31406455650
98748342310
103424279464
1114a7a09931
127b694b260
13427577088
14246acb384
151509514c9
hexcc1a5ba8

3424279464 has 24 divisors (see below), whose sum is σ = 9274090410. Its totient is φ = 1141426464.

The previous prime is 3424279447. The next prime is 3424279471. The reversal of 3424279464 is 4649724243.

It can be written as a sum of positive squares in only one way, i.e., 3392130564 + 32148900 = 58242^2 + 5670^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×34242794644 (a number of 39 digits) contains 4444 as substring.

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, 23779647 + ... + 23779790.

Almost surely, 23424279464 is an apocalyptic number.

It is an amenable number.

3424279464 is an abundant number, since it is smaller than the sum of its proper divisors (5849810946).

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

3424279464 is a wasteful number, since it uses less digits than its factorization.

3424279464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47559449 (or 47559442 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3424279464 is about 58517.3432753060. The cubic root of 3424279464 is about 1507.2654136924.

The spelling of 3424279464 in words is "three billion, four hundred twenty-four million, two hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47559437 95118874 142678311 190237748 285356622 380475496 428034933 570713244 856069866 1141426488 1712139732 3424279464