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3368533536 = 253211696297
BaseRepresentation
bin1100100011000111…
…1011111000100000
322200202111020022100
43020301323320200
523344321033121
61314131210400
7146322030324
oct31061737040
98622436270
103368533536
1114794a4115
127a0146a00
13418b59514
1423d539984
1514aade026
hexc8c7be20

3368533536 has 36 divisors (see below), whose sum is σ = 9579268062. Its totient is φ = 1122844416.

The previous prime is 3368533463. The next prime is 3368533537. The reversal of 3368533536 is 6353358633.

3368533536 is a `hidden beast` number, since 3 + 3 + 6 + 85 + 33 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2834923536 + 533610000 = 53244^2 + 23100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33685335362 = 22694036366313326592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3368533491 and 3368533500.

It is not an unprimeable number, because it can be changed into a prime (3368533537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5847861 + ... + 5848436.

Almost surely, 23368533536 is an apocalyptic number.

3368533536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3368533536 is an abundant number, since it is smaller than the sum of its proper divisors (6210734526).

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

3368533536 is a wasteful number, since it uses less digits than its factorization.

3368533536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696313 (or 11696302 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 45.

The square root of 3368533536 is about 58039.0690483574. The cubic root of 3368533536 is about 1499.0413928454.

The spelling of 3368533536 in words is "three billion, three hundred sixty-eight million, five hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11696297 23392594 35088891 46785188 70177782 93570376 105266673 140355564 187140752 210533346 280711128 374281504 421066692 561422256 842133384 1122844512 1684266768 3368533536