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429350112 = 2533653761
BaseRepresentation
bin11001100101110…
…101110011100000
31002220220020122000
4121211311303200
51334403200422
6110334244000
713432262412
oct3145656340
91086806560
10429350112
112003a2104
12bb956600
136ac49829
14410449b2
1527a5ecac
hex19975ce0

429350112 has 96 divisors (see below), whose sum is σ = 1255836960. Its totient is φ = 142709760.

The previous prime is 429350107. The next prime is 429350149. The reversal of 429350112 is 211053924.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 563812 + ... + 564572.

It is an arithmetic number, because the mean of its divisors is an integer number (13081635).

Almost surely, 2429350112 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 429350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627918480).

429350112 is an abundant number, since it is smaller than the sum of its proper divisors (826486848).

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

429350112 is a wasteful number, since it uses less digits than its factorization.

429350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 429350112 is about 20720.7652368343. The cubic root of 429350112 is about 754.4037875965.

The spelling of 429350112 in words is "four hundred twenty-nine million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 653 761 864 1306 1522 1959 2283 2612 3044 3918 4566 5224 5877 6088 6849 7836 9132 10448 11754 12176 13698 15672 17631 18264 20547 20896 23508 24352 27396 31344 35262 36528 41094 47016 54792 62688 70524 73056 82188 94032 109584 141048 164376 188064 219168 282096 328752 496933 564192 657504 993866 1490799 1987732 2981598 3975464 4472397 5963196 7950928 8944794 11926392 13417191 15901856 17889588 23852784 26834382 35779176 47705568 53668764 71558352 107337528 143116704 214675056 429350112