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3376099872 = 25333907523
BaseRepresentation
bin1100100100111011…
…0011001000100000
322201021201122101000
43021032303020200
523403240143442
61315001312000
7146443242525
oct31116631040
98637648330
103376099872
1114827a1892
127a2795600
1341a5a8442
1424054914c
1514b5d5d4c
hexc93b3220

3376099872 has 48 divisors (see below), whose sum is σ = 9846960480. Its totient is φ = 1125366336.

The previous prime is 3376099871. The next prime is 3376099877. The reversal of 3376099872 is 2789906733.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33760998722 = 22796100691436832768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3376099871) 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 7 ways as a sum of consecutive naturals, for example, 1952898 + ... + 1954625.

It is an arithmetic number, because the mean of its divisors is an integer number (205145010).

Almost surely, 23376099872 is an apocalyptic number.

3376099872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3376099872 is an abundant number, since it is smaller than the sum of its proper divisors (6470860608).

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

3376099872 is a wasteful number, since it uses less digits than its factorization.

3376099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907542 (or 3907528 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3376099872 is about 58104.2156129829. The cubic root of 3376099872 is about 1500.1629263027.

The spelling of 3376099872 in words is "three billion, three hundred seventy-six million, ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3907523 7815046 11722569 15630092 23445138 31260184 35167707 46890276 62520368 70335414 93780552 105503121 125040736 140670828 187561104 211006242 281341656 375122208 422012484 562683312 844024968 1125366624 1688049936 3376099872