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193432104 = 23333072917
BaseRepresentation
bin10111000011110…
…00101000101000
3111110222100222000
423201320220220
5344004311404
631105531000
74536100665
oct1341705050
9443870860
10193432104
119a207448
1254943a60
13310c7988
141b992a6c
1511ead339
hexb878a28

193432104 has 64 divisors (see below), whose sum is σ = 539246400. Its totient is φ = 64245312.

The previous prime is 193432091. The next prime is 193432153. The reversal of 193432104 is 401234391.

193432104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64854 + ... + 67770.

It is an arithmetic number, because the mean of its divisors is an integer number (8425725).

Almost surely, 2193432104 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 193432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269623200).

193432104 is an abundant number, since it is smaller than the sum of its proper divisors (345814296).

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

193432104 is a wasteful number, since it uses less digits than its factorization.

193432104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 193432104 is about 13907.9870578024. The cubic root of 193432104 is about 578.3306178720.

Adding to 193432104 its reverse (401234391), we get a palindrome (594666495).

The spelling of 193432104 in words is "one hundred ninety-three million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1842 2456 2763 2917 3684 5526 5834 7368 8289 8751 11052 11668 16578 17502 22104 23336 26253 33156 35004 52506 66312 70008 78759 105012 157518 210024 315036 630072 895519 1791038 2686557 3582076 5373114 7164152 8059671 10746228 16119342 21492456 24179013 32238684 48358026 64477368 96716052 193432104