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434242312 = 23727391499
BaseRepresentation
bin11001111000100…
…000001100001000
31010021002210110121
4121320200030020
51342131223222
6111031153024
713521666400
oct3170401410
91107083417
10434242312
11203133749
12101515774
136bc7051a
1441959800
15281c95c7
hex19e20308

434242312 has 48 divisors (see below), whose sum is σ = 949050000. Its totient is φ = 185728032.

The previous prime is 434242309. The next prime is 434242351. The reversal of 434242312 is 213242434.

It is a happy number.

It is a super-2 number, since 2×4342423122 = 377132771062210688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288939 + ... + 290437.

It is an arithmetic number, because the mean of its divisors is an integer number (19771875).

Almost surely, 2434242312 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 434242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474525000).

434242312 is an abundant number, since it is smaller than the sum of its proper divisors (514807688).

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

434242312 is a wasteful number, since it uses less digits than its factorization.

434242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 434242312 is about 20838.4815185752. The cubic root of 434242312 is about 757.2583068557.

Adding to 434242312 its reverse (213242434), we get a palindrome (647484746).

The spelling of 434242312 in words is "four hundred thirty-four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 739 1478 1499 2956 2998 5173 5912 5996 10346 10493 11992 20692 20986 36211 41384 41972 72422 73451 83944 144844 146902 289688 293804 587608 1107761 2215522 4431044 7754327 8862088 15508654 31017308 54280289 62034616 108560578 217121156 434242312