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434134044 = 223231715479
BaseRepresentation
bin11001111000000…
…101110000011100
31010020220021221200
4121320011300130
51342114242134
6111024555500
713521035631
oct3170056034
91106807850
10434134044
1120306a373
12101482b90
136bc33166
144192c188
15281a7499
hex19e05c1c

434134044 has 72 divisors (see below), whose sum is σ = 1148958720. Its totient is φ = 138045600.

The previous prime is 434134003. The next prime is 434134069. The reversal of 434134044 is 440431434.

It is a junction number, because it is equal to n+sod(n) for n = 434133999 and 434134017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76497 + ... + 81975.

It is an arithmetic number, because the mean of its divisors is an integer number (15957760).

Almost surely, 2434134044 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 434134044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574479360).

434134044 is an abundant number, since it is smaller than the sum of its proper divisors (714824676).

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

434134044 is a wasteful number, since it uses less digits than its factorization.

434134044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 434134044 is about 20835.8835665781. The cubic root of 434134044 is about 757.1953668375.

Adding to 434134044 its reverse (440431434), we get a palindrome (874565478).

The spelling of 434134044 in words is "four hundred thirty-four million, one hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1116 1278 2201 2556 4402 5479 6603 8804 10958 13206 16437 19809 21916 26412 32874 39618 49311 65748 79236 98622 169849 197244 339698 389009 509547 679396 778018 1019094 1167027 1528641 1556036 2038188 2334054 3057282 3501081 4668108 6114564 7002162 12059279 14004324 24118558 36177837 48237116 72355674 108533511 144711348 217067022 434134044