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1339361640 = 233257734813
BaseRepresentation
bin100111111010101…
…0000100101101000
310110100020121202200
41033311100211220
510220334033030
6340523100200
745122246301
oct11765204550
93410217680
101339361640
11628042251
12314671660
1318463a0a6
14c9c497a8
157c8b7d60
hex4fd50968

1339361640 has 96 divisors (see below), whose sum is σ = 4359462120. Its totient is φ = 356626944.

The previous prime is 1339361629. The next prime is 1339361641. The reversal of 1339361640 is 461639331.

1339361640 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 3 + 6 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 914094756 + 425266884 = 30234^2 + 20622^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1339361595 and 1339361604.

It is not an unprimeable number, because it can be changed into a prime (1339361641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275874 + ... + 280686.

Almost surely, 21339361640 is an apocalyptic number.

1339361640 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 1339361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179731060).

1339361640 is an abundant number, since it is smaller than the sum of its proper divisors (3020100480).

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

1339361640 is a wasteful number, since it uses less digits than its factorization.

1339361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1339361640 is about 36597.2900636099. The cubic root of 1339361640 is about 1102.2986751952.

The spelling of 1339361640 in words is "one billion, three hundred thirty-nine million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 773 1546 2319 3092 3865 4638 4813 6184 6957 7730 9276 9626 11595 13914 14439 15460 18552 19252 23190 24065 27828 28878 30920 34785 38504 43317 46380 48130 55656 57756 69570 72195 86634 92760 96260 115512 139140 144390 173268 192520 216585 278280 288780 346536 433170 577560 866340 1732680 3720449 7440898 11161347 14881796 18602245 22322694 29763592 33484041 37204490 44645388 55806735 66968082 74408980 89290776 111613470 133936164 148817960 167420205 223226940 267872328 334840410 446453880 669680820 1339361640