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3233400104 = 2311375091951
BaseRepresentation
bin1100000010111001…
…1100010100101000
322100100012202002102
43000232130110220
523110222300404
61252502552532
7143061306314
oct30056342450
98310182072
103233400104
11140a1963a0
12762a38748
133c6b642cc
14229600b44
1513dce971e
hexc0b9c528

3233400104 has 64 divisors (see below), whose sum is σ = 6809356800. Its totient is φ = 1426464000.

The previous prime is 3233400103. The next prime is 3233400113. The reversal of 3233400104 is 4010043323.

It is not an unprimeable number, because it can be changed into a prime (3233400103) 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 15 ways as a sum of consecutive naturals, for example, 1656329 + ... + 1658279.

It is an arithmetic number, because the mean of its divisors is an integer number (106396200).

Almost surely, 23233400104 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 3233400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404678400).

3233400104 is an abundant number, since it is smaller than the sum of its proper divisors (3575956696).

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

3233400104 is a wasteful number, since it uses less digits than its factorization.

3233400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3233400104 is about 56862.9941526121. The cubic root of 3233400104 is about 1478.7218243721.

Adding to 3233400104 its reverse (4010043323), we get a palindrome (7243443427).

The spelling of 3233400104 in words is "three billion, two hundred thirty-three million, four hundred thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 509 814 1018 1628 1951 2036 3256 3902 4072 5599 7804 11198 15608 18833 21461 22396 37666 42922 44792 72187 75332 85844 144374 150664 171688 207163 288748 414326 577496 794057 828652 993059 1588114 1657304 1986118 3176228 3972236 6352456 7944472 10923649 21847298 36743183 43694596 73486366 87389192 146972732 293945464 404175013 808350026 1616700052 3233400104