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3564413240 = 2355311314879
BaseRepresentation
bin1101010001110100…
…1010000100111000
3100012102001221202012
43110131022010320
524244442210430
61345405425052
7154221004223
oct32435120470
910172057665
103564413240
11156a022473
1283586b188
1344a60027b
1425b5685ba
1515cdd2695
hexd474a138

3564413240 has 64 divisors (see below), whose sum is σ = 8244115200. Its totient is φ = 1386391552.

The previous prime is 3564413227. The next prime is 3564413261. The reversal of 3564413240 is 423144653.

It is a junction number, because it is equal to n+sod(n) for n = 3564413197 and 3564413206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232121 + ... + 246999.

It is an arithmetic number, because the mean of its divisors is an integer number (128814300).

Almost surely, 23564413240 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 3564413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122057600).

3564413240 is an abundant number, since it is smaller than the sum of its proper divisors (4679701960).

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

3564413240 is a wasteful number, since it uses less digits than its factorization.

3564413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15056 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3564413240 is about 59702.7071413014. The cubic root of 3564413240 is about 1527.5520453925.

Adding to 3564413240 its reverse (423144653), we get a palindrome (3987557893).

It can be divided in two parts, 3564413 and 240, that added together give a palindrome (3564653).

The spelling of 3564413240 in words is "three billion, five hundred sixty-four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 113 212 226 265 424 452 530 565 904 1060 1130 2120 2260 4520 5989 11978 14879 23956 29758 29945 47912 59516 59890 74395 119032 119780 148790 239560 297580 595160 788587 1577174 1681327 3154348 3362654 3942935 6308696 6725308 7885870 8406635 13450616 15771740 16813270 31543480 33626540 67253080 89110331 178220662 356441324 445551655 712882648 891103310 1782206620 3564413240