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434243220 = 223523419751
BaseRepresentation
bin11001111000100…
…000011010010100
31010021002211201020
4121320200122110
51342131240340
6111031201140
713522002135
oct3170403224
91107084636
10434243220
112031343a4
121015161b0
136bc70a68
1441959c8c
15281c99d0
hex19e20694

434243220 has 96 divisors (see below), whose sum is σ = 1273466880. Its totient is φ = 110352000.

The previous prime is 434243207. The next prime is 434243237. The reversal of 434243220 is 22342434.

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, 577845 + ... + 578595.

It is an arithmetic number, because the mean of its divisors is an integer number (13265280).

Almost surely, 2434243220 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 434243220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636733440).

434243220 is an abundant number, since it is smaller than the sum of its proper divisors (839223660).

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

434243220 is a wasteful number, since it uses less digits than its factorization.

434243220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 434243220 is about 20838.5033051801. The cubic root of 434243220 is about 757.2588346640.

Adding to 434243220 its reverse (22342434), we get a palindrome (456585654).

The spelling of 434243220 in words is "four hundred thirty-four million, two hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 419 460 690 751 838 1257 1380 1502 1676 2095 2253 2514 3004 3755 4190 4506 5028 6285 7510 8380 9012 9637 11265 12570 15020 17273 19274 22530 25140 28911 34546 38548 45060 48185 51819 57822 69092 86365 96370 103638 115644 144555 172730 192740 207276 259095 289110 314669 345460 518190 578220 629338 944007 1036380 1258676 1573345 1888014 3146690 3776028 4720035 6293380 7237387 9440070 14474774 18880140 21712161 28949548 36186935 43424322 72373870 86848644 108560805 144747740 217121610 434243220