Search a number
-
+
3289680460 = 2251152328591
BaseRepresentation
bin1100010000010100…
…1000101001001100
322111021010002020001
43010011020221030
523214124233320
61302233134044
7144343552063
oct30405105114
98437102201
103289680460
111438a36690
1277985a324
1340570b1b1
14232c911da
15143c1520a
hexc4148a4c

3289680460 has 48 divisors (see below), whose sum is σ = 7551032832. Its totient is φ = 1193918400.

The previous prime is 3289680451. The next prime is 3289680487. The reversal of 3289680460 is 640869823.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3289680460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100765 + ... + 129355.

It is an arithmetic number, because the mean of its divisors is an integer number (157313184).

Almost surely, 23289680460 is an apocalyptic number.

It is an amenable number.

3289680460 is an abundant number, since it is smaller than the sum of its proper divisors (4261352372).

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

3289680460 is a wasteful number, since it uses less digits than its factorization.

3289680460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29134 (or 29132 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 3289680460 is about 57355.7360688537. The cubic root of 3289680460 is about 1487.2520346500.

The spelling of 3289680460 in words is "three billion, two hundred eighty-nine million, six hundred eighty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 523 1046 2092 2615 5230 5753 10460 11506 23012 28591 28765 57182 57530 114364 115060 142955 285910 314501 571820 629002 1258004 1572505 3145010 6290020 14953093 29906186 59812372 74765465 149530930 164484023 299061860 328968046 657936092 822420115 1644840230 3289680460