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1364442804 = 2232314328433
BaseRepresentation
bin101000101010011…
…1011111010110100
310112002102212122200
41101110323322310
510243244132204
6343220424500
745545400234
oct12124737264
93462385580
101364442804
1164021308a
12320b48130
131898ac20a
14cd2d7cc4
157ebbe539
hex5153beb4

1364442804 has 72 divisors (see below), whose sum is σ = 3643191552. Its totient is φ = 429891840.

The previous prime is 1364442803. The next prime is 1364442811. The reversal of 1364442804 is 4082444631.

1364442804 is a `hidden beast` number, since 1 + 3 + 644 + 4 + 2 + 8 + 0 + 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364442803) 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 23 ways as a sum of consecutive naturals, for example, 33772 + ... + 62204.

Almost surely, 21364442804 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 1364442804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821595776).

1364442804 is an abundant number, since it is smaller than the sum of its proper divisors (2278748748).

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

1364442804 is a wasteful number, since it uses less digits than its factorization.

1364442804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28517 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 1364442804 is about 36938.3649340357. The cubic root of 1364442804 is about 1109.1367917554.

The spelling of 1364442804 in words is "one billion, three hundred sixty-four million, four hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 2666 3999 5332 7998 11997 15996 23994 28433 47988 56866 85299 113732 170598 255897 341196 511794 881423 1023588 1222619 1762846 2445238 2644269 3525692 3667857 4890476 5288538 7335714 7932807 10577076 11003571 14671428 15865614 22007142 31731228 37901189 44014284 75802378 113703567 151604756 227407134 341110701 454814268 682221402 1364442804