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1326906304 = 26175323011
BaseRepresentation
bin100111100010110…
…1111101111000000
310102110210211020221
41033011233233000
510204142000204
6335400112424
744611342333
oct11705575700
93373724227
101326906304
11621005389
12310465714
13181b98a79
14c832661a
157b757654
hex4f16fbc0

1326906304 has 56 divisors (see below), whose sum is σ = 2840693328. Its totient is φ = 612618240.

The previous prime is 1326906289. The next prime is 1326906307. The reversal of 1326906304 is 4036096231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1326906304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326906307) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46159 + ... + 69169.

Almost surely, 21326906304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420346664).

1326906304 is an abundant number, since it is smaller than the sum of its proper divisors (1513787024).

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

1326906304 is a wasteful number, since it uses less digits than its factorization.

1326906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23093 (or 23083 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 1326906304 is about 36426.7251341649. The cubic root of 1326906304 is about 1098.8711018960.

The spelling of 1326906304 in words is "one billion, three hundred twenty-six million, nine hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 1088 1696 1802 3392 3604 7208 14416 23011 28832 46022 57664 92044 184088 368176 391187 736352 782374 1219583 1472704 1564748 2439166 3129496 4878332 6258992 9756664 12517984 19513328 20732911 25035968 39026656 41465822 78053312 82931644 165863288 331726576 663453152 1326906304