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3300312132 = 2232137051949
BaseRepresentation
bin1100010010110110…
…1100010001000100
322112000010020010200
43010231230101010
523224334442012
61303253050500
7144533122155
oct30455542104
98460106120
103300312132
111443a38397
12781326a30
13407991420
1423445b92c
15144b153dc
hexc4b6c444

3300312132 has 36 divisors (see below), whose sum is σ = 8984184300. Its totient is φ = 1015480512.

The previous prime is 3300312131. The next prime is 3300312133. The reversal of 3300312132 is 2312130033.

It is an interprime number because it is at equal distance from previous prime (3300312131) and next prime (3300312133).

It can be written as a sum of positive squares in 2 ways, for example, as 1745902656 + 1554409476 = 41784^2 + 39426^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3300312131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3525507 + ... + 3526442.

It is an arithmetic number, because the mean of its divisors is an integer number (249560675).

Almost surely, 23300312132 is an apocalyptic number.

It is an amenable number.

3300312132 is an abundant number, since it is smaller than the sum of its proper divisors (5683872168).

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

3300312132 is a wasteful number, since it uses less digits than its factorization.

3300312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051972 (or 7051967 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300312132 is about 57448.3431614873. The cubic root of 3300312132 is about 1488.8524912573.

Adding to 3300312132 its reverse (2312130033), we get a palindrome (5612442165).

The spelling of 3300312132 in words is "three billion, three hundred million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 7051949 14103898 21155847 28207796 42311694 63467541 84623388 91675337 126935082 183350674 253870164 275026011 366701348 550052022 825078033 1100104044 1650156066 3300312132