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1338074550 = 232528233613
BaseRepresentation
bin100111111000001…
…0110010110110110
310110020211020012200
41033300112112312
510220021341200
6340435325330
745105305661
oct11760262666
93406736180
101338074550
1162734323a
12314150846
131842a92b7
14c99d26d8
157c711800
hex4fc165b6

1338074550 has 72 divisors (see below), whose sum is σ = 3600324624. Its totient is φ = 356287680.

The previous prime is 1338074513. The next prime is 1338074557. The reversal of 1338074550 is 554708331.

1338074550 is a `hidden beast` number, since 1 + 3 + 38 + 0 + 74 + 550 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338074557) 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 35 ways as a sum of consecutive naturals, for example, 368544 + ... + 372156.

Almost surely, 21338074550 is an apocalyptic number.

1338074550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338074550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800162312).

1338074550 is an abundant number, since it is smaller than the sum of its proper divisors (2262250074).

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

1338074550 is a wasteful number, since it uses less digits than its factorization.

1338074550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1338074550 is about 36579.7013383106. The cubic root of 1338074550 is about 1101.9454690447.

The spelling of 1338074550 in words is "one billion, three hundred thirty-eight million, seventy-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 823 1646 2469 3613 4115 4938 7226 7407 8230 10839 12345 14814 18065 20575 21678 24690 32517 36130 37035 41150 54195 61725 65034 74070 90325 108390 123450 162585 180650 185175 270975 325170 370350 541950 812925 1625850 2973499 5946998 8920497 14867495 17840994 26761491 29734990 44602485 53522982 74337475 89204970 133807455 148674950 223012425 267614910 446024850 669037275 1338074550