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434990352 = 24323237463
BaseRepresentation
bin11001111011010…
…110110100010000
31010022111210120210
4121323112310100
51342324142402
6111055204120
713531233306
oct3173266420
91108453523
10434990352
112035a4765
12101816640
136c172b54
1441ab2276
15282c606c
hex19ed6d10

434990352 has 120 divisors (see below), whose sum is σ = 1209061504. Its totient is φ = 134652672.

The previous prime is 434990341. The next prime is 434990359. The reversal of 434990352 is 253099434.

It is a self number, because there is not a number n which added to its sum of digits gives 434990352.

It is not an unprimeable number, because it can be changed into a prime (434990359) 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, 939273 + ... + 939735.

Almost surely, 2434990352 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 434990352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604530752).

434990352 is an abundant number, since it is smaller than the sum of its proper divisors (774071152).

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

434990352 is a wasteful number, since it uses less digits than its factorization.

434990352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 434990352 is about 20856.4223202351. The cubic root of 434990352 is about 757.6928833828.

The spelling of 434990352 in words is "four hundred thirty-four million, nine hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 463 529 552 592 851 888 926 1058 1104 1389 1587 1702 1776 1852 2116 2553 2778 3174 3404 3704 4232 5106 5556 6348 6808 7408 8464 10212 10649 11112 12696 13616 17131 19573 20424 21298 22224 25392 31947 34262 39146 40848 42596 51393 58719 63894 68524 78292 85192 102786 117438 127788 137048 156584 170384 205572 234876 244927 255576 274096 313168 394013 411144 469752 489854 511152 734781 788026 822288 939504 979708 1182039 1469562 1576052 1959416 2364078 2939124 3152104 3918832 4728156 5878248 6304208 9062299 9456312 11756496 18124598 18912624 27186897 36249196 54373794 72498392 108747588 144996784 217495176 434990352