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434204320 = 25511246707
BaseRepresentation
bin11001111000010…
…110111010100000
31010021000212100111
4121320112322200
51342124014240
6111030301104
713521450544
oct3170267240
91107025314
10434204320
11203108150
121014b7794
136bc59144
1441949a24
15281bd1ea
hex19e16ea0

434204320 has 48 divisors (see below), whose sum is σ = 1119067488. Its totient is φ = 157891840.

The previous prime is 434204299. The next prime is 434204333. The reversal of 434204320 is 23402434.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 434204291 and 434204300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121594 + ... + 125113.

It is an arithmetic number, because the mean of its divisors is an integer number (23313906).

Almost surely, 2434204320 is an apocalyptic number.

434204320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434204320 is an abundant number, since it is smaller than the sum of its proper divisors (684863168).

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

434204320 is a wasteful number, since it uses less digits than its factorization.

434204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246733 (or 246725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 434204320 is about 20837.5699158995. The cubic root of 434204320 is about 757.2362219538.

Adding to 434204320 its reverse (23402434), we get a palindrome (457606754).

The spelling of 434204320 in words is "four hundred thirty-four million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 246707 493414 986828 1233535 1973656 2467070 2713777 3947312 4934140 5427554 7894624 9868280 10855108 13568885 19736560 21710216 27137770 39473120 43420432 54275540 86840864 108551080 217102160 434204320