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434101220 = 225710928447
BaseRepresentation
bin11001110111111…
…101101111100100
31010020211121220222
4121313331233210
51342112214340
6111024143512
713520541140
oct3167755744
91106747828
10434101220
11203047743
12101467b98
136bc21237
1441920220
152819c8b5
hex19dfdbe4

434101220 has 48 divisors (see below), whose sum is σ = 1051438080. Its totient is φ = 147464064.

The previous prime is 434101183. The next prime is 434101231. The reversal of 434101220 is 22101434.

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, 1037 + ... + 29483.

It is an arithmetic number, because the mean of its divisors is an integer number (21904960).

Almost surely, 2434101220 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 434101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525719040).

434101220 is an abundant number, since it is smaller than the sum of its proper divisors (617336860).

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

434101220 is a wasteful number, since it uses less digits than its factorization.

434101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28572 (or 28570 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 434101220 is about 20835.0958721096. The cubic root of 434101220 is about 757.1762830180.

Adding to 434101220 its reverse (22101434), we get a palindrome (456202654).

The spelling of 434101220 in words is "four hundred thirty-four million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 15260 28447 56894 113788 142235 199129 284470 398258 568940 796516 995645 1991290 3100723 3982580 6201446 12402892 15503615 21705061 31007230 43410122 62014460 86820244 108525305 217050610 434101220