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429708084 = 2231337109683
BaseRepresentation
bin11001100111001…
…101001100110100
31002221120102200020
4121213031030310
51340001124314
6110350045140
713435313151
oct3147151464
91087512606
10429708084
11200617053
12bbaa97b0
136b043750
14410d9228
1527ad0da9
hex199cd334

429708084 has 96 divisors (see below), whose sum is σ = 1120775040. Its totient is φ = 127277568.

The previous prime is 429708053. The next prime is 429708091. The reversal of 429708084 is 480807924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628807 + ... + 629489.

It is an arithmetic number, because the mean of its divisors is an integer number (11674740).

Almost surely, 2429708084 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 429708084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560387520).

429708084 is an abundant number, since it is smaller than the sum of its proper divisors (691066956).

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

429708084 is a wasteful number, since it uses less digits than its factorization.

429708084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 429708084 is about 20729.4014385365. The cubic root of 429708084 is about 754.6133915279.

The spelling of 429708084 in words is "four hundred twenty-nine million, seven hundred eight thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 109 111 148 156 218 222 327 436 444 481 654 683 962 1308 1366 1417 1443 1924 2049 2732 2834 2886 4033 4098 4251 5668 5772 8066 8196 8502 8879 12099 16132 17004 17758 24198 25271 26637 35516 48396 50542 52429 53274 74447 75813 101084 104858 106548 148894 151626 157287 209716 223341 297788 303252 314574 328523 446682 629148 657046 893364 967811 985569 1314092 1935622 1971138 2754539 2903433 3871244 3942276 5509078 5806866 8263617 11018156 11613732 16527234 33054468 35809007 71618014 107427021 143236028 214854042 429708084