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32344104 = 23313831249
BaseRepresentation
bin111101101100…
…0100000101000
32020212020202210
41323120200220
531240002404
63113125120
7541630452
oct173304050
966766683
1032344104
1117291671
12a9b97a0
136915c30
14441d2d2
152c8d689
hex1ed8828

32344104 has 64 divisors (see below), whose sum is σ = 88200000. Its totient is φ = 9824256.

The previous prime is 32344093. The next prime is 32344133. The reversal of 32344104 is 40144323.

It is a super-2 number, since 2×323441042 = 2092282127125632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25272 + ... + 26520.

It is an arithmetic number, because the mean of its divisors is an integer number (1378125).

Almost surely, 232344104 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 32344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44100000).

32344104 is an abundant number, since it is smaller than the sum of its proper divisors (55855896).

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

32344104 is a wasteful number, since it uses less digits than its factorization.

32344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 32344104 is about 5687.1877057118. The cubic root of 32344104 is about 318.6141369465.

Adding to 32344104 its reverse (40144323), we get a palindrome (72488427).

The spelling of 32344104 in words is "thirty-two million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1249 1992 2158 2498 3237 3747 4316 4996 6474 7494 8632 9992 12948 14988 16237 25896 29976 32474 48711 64948 97422 103667 129896 194844 207334 311001 389688 414668 622002 829336 1244004 1347671 2488008 2695342 4043013 5390684 8086026 10781368 16172052 32344104