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429388326 = 232294120063
BaseRepresentation
bin11001100101111…
…111001000100110
31002220222012001100
4121211333020212
51334410411301
6110335140530
713432512003
oct3145771046
91086865040
10429388326
11200418894
12bb974746
136ac61043
14410548aa
1527a6b286
hex1997f226

429388326 has 48 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 134816640.

The previous prime is 429388321. The next prime is 429388339. The reversal of 429388326 is 623883924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429388321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11371 + ... + 31433.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520).

Almost surely, 2429388326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429388326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

429388326 is an abundant number, since it is smaller than the sum of its proper divisors (556556634).

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

429388326 is a wasteful number, since it uses less digits than its factorization.

429388326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20141 (or 20138 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 429388326 is about 20721.6873347708. The cubic root of 429388326 is about 754.4261686559.

The spelling of 429388326 in words is "four hundred twenty-nine million, three hundred eighty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 7134 10701 20063 21402 40126 60189 120378 180567 361134 581827 822583 1163654 1645166 1745481 2467749 3490962 4935498 5236443 7403247 10472886 14806494 23854907 47709814 71564721 143129442 214694163 429388326