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429316134 = 2313191272281
BaseRepresentation
bin11001100101101…
…101100000100110
31002220211112000120
4121211231200212
51334401104014
6110333422410
713432061352
oct3145554046
91086745016
10429316134
11200379625
12bb93aa06
136ac37220
1441036462
1527a54ba9
hex1996d826

429316134 has 64 divisors (see below), whose sum is σ = 981442560. Its totient is φ = 124104960.

The previous prime is 429316127. The next prime is 429316157. The reversal of 429316134 is 431613924.

It is a junction number, because it is equal to n+sod(n) for n = 429316095 and 429316104.

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, 187074 + ... + 189354.

It is an arithmetic number, because the mean of its divisors is an integer number (15335040).

Almost surely, 2429316134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429316134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490721280).

429316134 is an abundant number, since it is smaller than the sum of its proper divisors (552126426).

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

429316134 is a wasteful number, since it uses less digits than its factorization.

429316134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445.

The product of its digits is 15552, while the sum is 33.

The square root of 429316134 is about 20719.9453184607. The cubic root of 429316134 is about 754.3838863494.

The spelling of 429316134 in words is "four hundred twenty-nine million, three hundred sixteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 381 494 741 762 1482 1651 2281 2413 3302 4562 4826 4953 6843 7239 9906 13686 14478 29653 31369 43339 59306 62738 86678 88959 94107 130017 177918 188214 260034 289687 563407 579374 869061 1126814 1690221 1738122 3380442 3765931 5504053 7531862 11008106 11297793 16512159 22595586 33024318 71552689 143105378 214658067 429316134