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434387996 = 22731895623
BaseRepresentation
bin11001111001000…
…011110000011100
31010021101012022022
4121321003300130
51342200403441
6111034235312
713523144210
oct3171036034
91107335268
10434387996
11203223149
12101585b38
136bcc1923
1441996940
152820784b
hex19e43c1c

434387996 has 48 divisors (see below), whose sum is σ = 907038720. Its totient is φ = 178104960.

The previous prime is 434387963. The next prime is 434388023. The reversal of 434387996 is 699783434.

It is a congruent number.

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, 74441 + ... + 80063.

It is an arithmetic number, because the mean of its divisors is an integer number (18896640).

Almost surely, 2434387996 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 434387996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453519360).

434387996 is an abundant number, since it is smaller than the sum of its proper divisors (472650724).

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

434387996 is a wasteful number, since it uses less digits than its factorization.

434387996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5752 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 53.

The square root of 434387996 is about 20841.9767776476. The cubic root of 434387996 is about 757.3429816109.

The spelling of 434387996 in words is "four hundred thirty-four million, three hundred eighty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 62 89 124 178 217 356 434 623 868 1246 2492 2759 5518 5623 11036 11246 19313 22492 38626 39361 77252 78722 157444 174313 348626 500447 697252 1000894 1220191 2001788 2440382 3503129 4880764 7006258 14012516 15513857 31027714 62055428 108596999 217193998 434387996