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3327104 = 271117139
BaseRepresentation
bin1100101100010010000000
320021000221002
430230102000
51322431404
6155151132
740165004
oct14542200
96230832
103327104
111972780
1211454a8
138c6501
14628704
1545ac1e
hex32c480

3327104 has 64 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1413120.

The previous prime is 3327101. The next prime is 3327167. The reversal of 3327104 is 4017233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33271042 = 22139242053632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3327101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23867 + ... + 24005.

Almost surely, 23327104 is an apocalyptic number.

3327104 is a gapful number since it is divisible by the number (34) 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 3327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3327104 is an abundant number, since it is smaller than the sum of its proper divisors (4384096).

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

3327104 is a wasteful number, since it uses less digits than its factorization.

3327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3327104 is about 1824.0350873818. The cubic root of 3327104 is about 149.2870463121.

The spelling of 3327104 in words is "three million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 139 176 187 272 278 352 374 544 556 704 748 1088 1112 1408 1496 1529 2176 2224 2363 2992 3058 4448 4726 5984 6116 8896 9452 11968 12232 17792 18904 23936 24464 25993 37808 48928 51986 75616 97856 103972 151232 195712 207944 302464 415888 831776 1663552 3327104