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429287034 = 2311137197241
BaseRepresentation
bin11001100101100…
…110011001111010
31002220210001002210
4121211212121322
51334344141114
6110333035550
713431610461
oct3145463172
91086701083
10429287034
11200359780
12bb925bb6
136ac26bc7
14410299d8
1527a4b259
hex1996667a

429287034 has 64 divisors (see below), whose sum is σ = 952186752. Its totient is φ = 127948800.

The previous prime is 429287021. The next prime is 429287093. The reversal of 429287034 is 430782924.

It is a junction number, because it is equal to n+sod(n) for n = 429286983 and 429287001.

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, 1781154 + ... + 1781394.

It is an arithmetic number, because the mean of its divisors is an integer number (14877918).

Almost surely, 2429287034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429287034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476093376).

429287034 is an abundant number, since it is smaller than the sum of its proper divisors (522899718).

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

429287034 is a wasteful number, since it uses less digits than its factorization.

429287034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 429287034 is about 20719.2430846303. The cubic root of 429287034 is about 754.3668413598.

The spelling of 429287034 in words is "four hundred twenty-nine million, two hundred eighty-seven thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 137 197 241 274 394 411 482 591 723 822 1182 1446 1507 2167 2651 3014 4334 4521 5302 6501 7953 9042 13002 15906 26989 33017 47477 53978 66034 80967 94954 99051 142431 161934 198102 284862 296879 363187 522247 593758 726374 890637 1044494 1089561 1566741 1781274 2179122 3133482 6504349 13008698 19513047 39026094 71547839 143095678 214643517 429287034