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423292104 = 233231199953
BaseRepresentation
bin11001001110101…
…110110011001000
31002111111110121100
4121032232303020
51331330321404
6110000341400
713326631524
oct3116566310
91074443540
10423292104
111a7a34694
12b9914860
1369908301
1440308d84
1527264d39
hex193aecc8

423292104 has 96 divisors (see below), whose sum is σ = 1190592000. Its totient is φ = 135717120.

The previous prime is 423292087. The next prime is 423292147. The reversal of 423292104 is 401292324.

423292104 is a `hidden beast` number, since 423 + 29 + 210 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443692 + ... + 444644.

It is an arithmetic number, because the mean of its divisors is an integer number (12402000).

Almost surely, 2423292104 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 423292104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595296000).

423292104 is an abundant number, since it is smaller than the sum of its proper divisors (767299896).

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

423292104 is a wasteful number, since it uses less digits than its factorization.

423292104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 423292104 is about 20574.0638669175. The cubic root of 423292104 is about 750.8388268097.

The spelling of 423292104 in words is "four hundred twenty-three million, two hundred ninety-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 199 248 279 372 398 558 597 744 796 953 1116 1194 1592 1791 1906 2232 2388 2859 3582 3812 4776 5718 6169 7164 7624 8577 11436 12338 14328 17154 18507 22872 24676 29543 34308 37014 49352 55521 59086 68616 74028 88629 111042 118172 148056 177258 189647 222084 236344 265887 354516 379294 444168 531774 568941 709032 758588 1063548 1137882 1517176 1706823 2127096 2275764 3413646 4551528 5879057 6827292 11758114 13654584 17637171 23516228 35274342 47032456 52911513 70548684 105823026 141097368 211646052 423292104