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1332970340 = 2251317301577
BaseRepresentation
bin100111101110011…
…1000001101100100
310102220012220112212
41033130320031210
510212220022330
6340134102552
745014026622
oct11734701544
93386186485
101332970340
11624477389
123124aaa58
1318320cc60
14c9064512
157c054295
hex4f738364

1332970340 has 48 divisors (see below), whose sum is σ = 3191901552. Its totient is φ = 463220736.

The previous prime is 1332970319. The next prime is 1332970343. The reversal of 1332970340 is 430792331.

1332970340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 216207616 + 1116762724 = 14704^2 + 33418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1332970297 and 1332970306.

It is not an unprimeable number, because it can be changed into a prime (1332970343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146369 + ... + 155208.

It is an arithmetic number, because the mean of its divisors is an integer number (66497949).

Almost surely, 21332970340 is an apocalyptic number.

1332970340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332970340 is an abundant number, since it is smaller than the sum of its proper divisors (1858931212).

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

1332970340 is a wasteful number, since it uses less digits than its factorization.

1332970340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301616 (or 301614 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 1332970340 is about 36509.8663377449. The cubic root of 1332970340 is about 1100.5425257679.

The spelling of 1332970340 in words is "one billion, three hundred thirty-two million, nine hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 301577 603154 1206308 1507885 3015770 3920501 5126809 6031540 7841002 10253618 15682004 19602505 20507236 25634045 39205010 51268090 66648517 78410020 102536180 133297034 266594068 333242585 666485170 1332970340