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429630102 = 233112471399
BaseRepresentation
bin11001100110111…
…010001010010110
31002221102110201000
4121212322022112
51334441130402
6110344244130
713434536616
oct3146721226
91087373630
10429630102
11200573500
12bba70646
136b0170c5
14410b8a46
1527ab7c1c
hex199ba296

429630102 has 96 divisors (see below), whose sum is σ = 1072512000. Its totient is φ = 127329840.

The previous prime is 429630083. The next prime is 429630119. The reversal of 429630102 is 201036924.

429630102 is a `hidden beast` number, since 4 + 29 + 630 + 1 + 0 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 306399 + ... + 307797.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2429630102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429630102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256000).

429630102 is an abundant number, since it is smaller than the sum of its proper divisors (642881898).

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

429630102 is a wasteful number, since it uses less digits than its factorization.

429630102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1462 counting only the distinct ones).

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

The square root of 429630102 is about 20727.5204016303. The cubic root of 429630102 is about 754.5677405198.

The spelling of 429630102 in words is "four hundred twenty-nine million, six hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 121 141 198 242 282 297 363 423 517 594 726 846 1034 1089 1269 1399 1551 2178 2538 2798 3102 3267 4197 4653 5687 6534 8394 9306 11374 12591 13959 15389 17061 25182 27918 30778 34122 37773 46167 51183 65753 75546 92334 102366 131506 138501 153549 169279 197259 277002 307098 338558 394518 415503 507837 591777 723283 831006 1015674 1183554 1446566 1523511 1775331 2169849 3047022 3550662 4339698 4570533 6509547 7956113 9141066 13019094 15912226 19528641 23868339 39057282 47736678 71605017 143210034 214815051 429630102