Search a number
-
+
1334796660 = 2232529325309
BaseRepresentation
bin100111110001111…
…0110000101110100
310110000122200210100
41033203312011310
510213201443120
6340241154100
745035404311
oct11743660564
93400580710
101334796660
1162550453a
1231302b930
131836cc312
14c93bbd08
157c2b5490
hex4f8f6174

1334796660 has 72 divisors (see below), whose sum is σ = 4062862440. Its totient is φ = 354716928.

The previous prime is 1334796643. The next prime is 1334796691. The reversal of 1334796660 is 666974331.

It can be written as a sum of positive squares in 4 ways, for example, as 489382884 + 845413776 = 22122^2 + 29076^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40086 + ... + 65394.

It is an arithmetic number, because the mean of its divisors is an integer number (56428645).

Almost surely, 21334796660 is an apocalyptic number.

1334796660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334796660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031431220).

1334796660 is an abundant number, since it is smaller than the sum of its proper divisors (2728065780).

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

1334796660 is a wasteful number, since it uses less digits than its factorization.

1334796660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25617 (or 25612 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 1334796660 is about 36534.8690978906. The cubic root of 1334796660 is about 1101.0449189354.

The spelling of 1334796660 in words is "one billion, three hundred thirty-four million, seven hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 25309 26370 50618 52740 75927 101236 126545 151854 227781 253090 303708 379635 455562 506180 759270 911124 1138905 1518540 2277810 4555620 7415537 14831074 22246611 29662148 37077685 44493222 66739833 74155370 88986444 111233055 133479666 148310740 222466110 266959332 333699165 444932220 667398330 1334796660