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434440344 = 233136732069
BaseRepresentation
bin11001111001010…
…000100010011000
31010021110212010010
4121321100202120
51342204042334
6111035321520
713523452632
oct3171204230
91107425103
10434440344
11203259508
121015b02a0
136c00c6c0
14419aba52
15282180e9
hex19e50898

434440344 has 64 divisors (see below), whose sum is σ = 1171951200. Its totient is φ = 133410816.

The previous prime is 434440327. The next prime is 434440351. The reversal of 434440344 is 443044434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208942 + ... + 211010.

Almost surely, 2434440344 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 434440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585975600).

434440344 is an abundant number, since it is smaller than the sum of its proper divisors (737510856).

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

434440344 is a wasteful number, since it uses less digits than its factorization.

434440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 434440344 is about 20843.2325707890. The cubic root of 434440344 is about 757.3734027999.

Adding to 434440344 its reverse (443044434), we get a palindrome (877484778).

The spelling of 434440344 in words is "four hundred thirty-four million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 673 1346 2019 2069 2692 4038 4138 5384 6207 8076 8276 8749 12414 16152 16552 17498 24828 26247 26897 34996 49656 52494 53794 69992 80691 104988 107588 161382 209976 215176 322764 645528 1392437 2784874 4177311 5569748 8354622 11139496 16709244 18101681 33418488 36203362 54305043 72406724 108610086 144813448 217220172 434440344