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3243636816 = 243710195581
BaseRepresentation
bin1100000101010101…
…1111100001010000
322101001110211012220
43001111133201100
523120332334231
61253510221040
7143244313050
oct30125374120
98331424186
103243636816
111414a48392
12766354780
133c9009834
1422ab07560
1513eb6c896
hexc155f850

3243636816 has 80 divisors (see below), whose sum is σ = 9671369088. Its totient is φ = 917568000.

The previous prime is 3243636811. The next prime is 3243636821. The reversal of 3243636816 is 6186363423.

It is an interprime number because it is at equal distance from previous prime (3243636811) and next prime (3243636821).

It is a super-2 number, since 2×32436368162 = 21042359588221235712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243636811) 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, 13855 + ... + 81726.

Almost surely, 23243636816 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 3243636816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835684544).

3243636816 is an abundant number, since it is smaller than the sum of its proper divisors (6427732272).

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

3243636816 is a wasteful number, since it uses less digits than its factorization.

3243636816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95700 (or 95694 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 3243636816 is about 56952.9350955682. The cubic root of 3243636816 is about 1480.2806893970.

The spelling of 3243636816 in words is "three billion, two hundred forty-three million, six hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 33936 95581 191162 286743 382324 573486 669067 764648 1146972 1338134 1529296 2007201 2293944 2676268 4014402 4587888 5352536 8028804 9653681 10705072 16057608 19307362 28961043 32115216 38614724 57922086 67575767 77229448 115844172 135151534 154458896 202727301 231688344 270303068 405454602 463376688 540606136 810909204 1081212272 1621818408 3243636816