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434516140 = 225101251857
BaseRepresentation
bin11001111001100…
…011000010101100
31010021121201002101
4121321203002230
51342214004030
6111041104444
713524216622
oct3171430254
91107551071
10434516140
11203300453
12101628124
136c038056
14419cb512
15282307ca
hex19e630ac

434516140 has 48 divisors (see below), whose sum is σ = 926269344. Its totient is φ = 171200000.

The previous prime is 434516129. The next prime is 434516143. The reversal of 434516140 is 41615434.

It is a junction number, because it is equal to n+sod(n) for n = 434516099 and 434516108.

It is not an unprimeable number, because it can be changed into a prime (434516143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506592 + ... + 507448.

It is an arithmetic number, because the mean of its divisors is an integer number (19297278).

Almost surely, 2434516140 is an apocalyptic number.

It is an amenable number.

434516140 is an abundant number, since it is smaller than the sum of its proper divisors (491753204).

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

434516140 is a wasteful number, since it uses less digits than its factorization.

434516140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 434516140 is about 20845.0507315286. The cubic root of 434516140 is about 757.4174460823.

The spelling of 434516140 in words is "four hundred thirty-four million, five hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 251 404 502 505 857 1004 1010 1255 1714 2020 2510 3428 4285 5020 8570 17140 25351 50702 86557 101404 126755 173114 215107 253510 346228 430214 432785 507020 860428 865570 1075535 1731140 2151070 4302140 21725807 43451614 86903228 108629035 217258070 434516140