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2932104 = 233731563
BaseRepresentation
bin1011001011110110001000
312111222002110
423023312020
51222311404
6142502320
733631260
oct13136610
95458073
102932104
111722a2a
12b949a0
137b8796
145647a0
153cdb89
hex2cbd88

2932104 has 64 divisors (see below), whose sum is σ = 8663040. Its totient is φ = 809280.

The previous prime is 2932091. The next prime is 2932117. The reversal of 2932104 is 4012392.

2932104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2932091) and next prime (2932117).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4927 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (135360).

22932104 is an apocalyptic number.

2932104 is a gapful number since it is divisible by the number (24) 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 2932104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331520).

2932104 is an abundant number, since it is smaller than the sum of its proper divisors (5730936).

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

2932104 is a wasteful number, since it uses less digits than its factorization.

2932104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2932104 is about 1712.3387515325. The cubic root of 2932104 is about 143.1286110465.

Adding to 2932104 its reverse (4012392), we get a palindrome (6944496).

The spelling of 2932104 in words is "two million, nine hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 563 651 744 868 1126 1302 1689 1736 2252 2604 3378 3941 4504 5208 6756 7882 11823 13512 15764 17453 23646 31528 34906 47292 52359 69812 94584 104718 122171 139624 209436 244342 366513 418872 488684 733026 977368 1466052 2932104