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30346999656 = 23329163267497
BaseRepresentation
bin11100010000110100…
…100111011101101000
32220022221020022102020
4130100310213131220
5444122312442111
621535145304440
72123012145441
oct342064473550
986287208366
1030346999656
11119630aa006
125a6b195120
132b2823a73c
14167c5742c8
15bc931d906
hex710d27768

30346999656 has 64 divisors (see below), whose sum is σ = 78965409600. Its totient is φ = 9706894848.

The previous prime is 30346999651. The next prime is 30346999667. The reversal of 30346999656 is 65699964303.

It is a super-3 number, since 3×303469996563 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30346999656.

It is not an unprimeable number, because it can be changed into a prime (30346999651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20301 + ... + 247196.

It is an arithmetic number, because the mean of its divisors is an integer number (1233834525).

Almost surely, 230346999656 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 30346999656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39482704800).

30346999656 is an abundant number, since it is smaller than the sum of its proper divisors (48618409944).

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

30346999656 is a wasteful number, since it uses less digits than its factorization.

30346999656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267698 (or 267694 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 60.

The spelling of 30346999656 in words is "thirty billion, three hundred forty-six million, nine hundred ninety-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 9454 14181 18908 28362 37816 56724 113448 267497 534994 802491 1069988 1604982 2139976 3209964 6419928 7757413 15514826 23272239 31029652 43602011 46544478 62059304 87204022 93088956 130806033 174408044 186177912 261612066 348816088 523224132 1046448264 1264458319 2528916638 3793374957 5057833276 7586749914 10115666552 15173499828 30346999656