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3314340036 = 2232749926357
BaseRepresentation
bin1100010110001100…
…1101000011000100
322112222111220210200
43011203031003010
523241432340121
61304513450500
7145063265640
oct30543150304
98488456720
103314340036
1114509497a7
12785b70a30
1340a863467
1423626dc20
15145e86a26
hexc58cd0c4

3314340036 has 72 divisors (see below), whose sum is σ = 9594312000. Its totient is φ = 945020736.

The previous prime is 3314340019. The next prime is 3314340053. The reversal of 3314340036 is 6300434133.

3314340036 is a `hidden beast` number, since 3 + 314 + 340 + 0 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3314340019) and next prime (3314340053).

It is a junction number, because it is equal to n+sod(n) for n = 3314339991 and 3314340009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112570 + ... + 138926.

Almost surely, 23314340036 is an apocalyptic number.

3314340036 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 3314340036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797156000).

3314340036 is an abundant number, since it is smaller than the sum of its proper divisors (6279971964).

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

3314340036 is a wasteful number, since it uses less digits than its factorization.

3314340036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26873 (or 26868 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3314340036 is about 57570.3051581282. The cubic root of 3314340036 is about 1490.9589544817.

Adding to 3314340036 its reverse (6300434133), we get a palindrome (9614774169).

The spelling of 3314340036 in words is "three billion, three hundred fourteen million, three hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 499 998 1497 1996 2994 3493 4491 5988 6986 8982 10479 13972 17964 20958 26357 31437 41916 52714 62874 79071 105428 125748 158142 184499 237213 316284 368998 474426 553497 737996 948852 1106994 1660491 2213988 3320982 6641964 13152143 26304286 39456429 52608572 78912858 92065001 118369287 157825716 184130002 236738574 276195003 368260004 473477148 552390006 828585009 1104780012 1657170018 3314340036