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3363534216 = 2332710364793
BaseRepresentation
bin1100100001111011…
…0111010110001000
322200102002020112100
43020132313112020
523342031043331
61313432113400
7146231366130
oct31036672610
98612066470
103363534216
11147669a049
1279a535860
13417ac8b43
1423c9d7ac0
1514a452ae6
hexc87b7588

3363534216 has 96 divisors (see below), whose sum is σ = 10512178560. Its totient is φ = 951664896.

The previous prime is 3363534143. The next prime is 3363534217. The reversal of 3363534216 is 6124353633.

3363534216 is a `hidden beast` number, since 3 + 3 + 635 + 3 + 4 + 2 + 16 = 666.

3363534216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33635342162 = 22626724844405469312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3363534217) 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, 19516 + ... + 84308.

It is an arithmetic number, because the mean of its divisors is an integer number (109501860).

Almost surely, 23363534216 is an apocalyptic number.

3363534216 is a gapful number since it is divisible by the number (36) 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 3363534216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256089280).

3363534216 is an abundant number, since it is smaller than the sum of its proper divisors (7148644344).

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

3363534216 is a wasteful number, since it uses less digits than its factorization.

3363534216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64915 (or 64908 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 3363534216 is about 57995.9844816863. The cubic root of 3363534216 is about 1498.2994381214.

Adding to 3363534216 its reverse (6124353633), we get a palindrome (9487887849).

The spelling of 3363534216 in words is "three billion, three hundred sixty-three million, five hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 412 504 618 721 824 927 1236 1442 1854 2163 2472 2884 3708 4326 5768 6489 7416 8652 12978 17304 25956 51912 64793 129586 194379 259172 388758 453551 518344 583137 777516 907102 1166274 1360653 1555032 1814204 2332548 2721306 3628408 4081959 4665096 5442612 6673679 8163918 10885224 13347358 16327836 20021037 26694716 32655672 40042074 46715753 53389432 60063111 80084148 93431506 120126222 140147259 160168296 186863012 240252444 280294518 373726024 420441777 480504888 560589036 840883554 1121178072 1681767108 3363534216