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429616740 = 223577114407
BaseRepresentation
bin11001100110110…
…110111001100100
31002221101210101010
4121212312321210
51334440213430
6110344102220
713434452640
oct3146667144
91087353333
10429616740
11200564463
12bba64970
136b010cb7
14410b3c20
1527ab3cb0
hex199b6e64

429616740 has 96 divisors (see below), whose sum is σ = 1394233344. Its totient is φ = 96808320.

The previous prime is 429616739. The next prime is 429616757. The reversal of 429616740 is 47616924.

It is a happy 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, 22617 + ... + 37023.

It is an arithmetic number, because the mean of its divisors is an integer number (14523264).

Almost surely, 2429616740 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 429616740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697116672).

429616740 is an abundant number, since it is smaller than the sum of its proper divisors (964616604).

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

429616740 is a wasteful number, since it uses less digits than its factorization.

429616740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14497 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 429616740 is about 20727.1980740282. The cubic root of 429616740 is about 754.5599177915.

The spelling of 429616740 in words is "four hundred twenty-nine million, six hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14407 14910 28814 29820 43221 57628 72035 86442 100849 144070 172884 201698 216105 288140 302547 403396 432210 504245 605094 864420 1008490 1022897 1210188 1512735 2016980 2045794 3025470 3068691 4091588 5114485 6050940 6137382 7160279 10228970 12274764 14320558 15343455 20457940 21480837 28641116 30686910 35801395 42961674 61373820 71602790 85923348 107404185 143205580 214808370 429616740