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1338909700 = 225229461693
BaseRepresentation
bin100111111001110…
…0010010000000100
310110022101122211011
41033303202100010
510220230102300
6340505252004
745115354552
oct11763422004
93408348734
101338909700
11627863747
12314494004
1318450c47b
14c9b6cbd2
157c828eba
hex4fce2404

1338909700 has 36 divisors (see below), whose sum is σ = 3005627940. Its totient is φ = 517095040.

The previous prime is 1338909697. The next prime is 1338909707. The reversal of 1338909700 is 79098331.

It can be written as a sum of positive squares in 6 ways, for example, as 41757444 + 1297152256 = 6462^2 + 36016^2 .

It is not an unprimeable number, because it can be changed into a prime (1338909707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227947 + ... + 233746.

It is an arithmetic number, because the mean of its divisors is an integer number (83489665).

Almost surely, 21338909700 is an apocalyptic number.

1338909700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338909700 is an abundant number, since it is smaller than the sum of its proper divisors (1666718240).

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

1338909700 is a wasteful number, since it uses less digits than its factorization.

1338909700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461736 (or 461729 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1338909700 is about 36591.1150417694. The cubic root of 1338909700 is about 1102.1746785858.

The spelling of 1338909700 in words is "one billion, three hundred thirty-eight million, nine hundred nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 461693 923386 1846772 2308465 4616930 9233860 11542325 13389097 23084650 26778194 46169300 53556388 66945485 133890970 267781940 334727425 669454850 1338909700