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434107371060 = 223451141594163
BaseRepresentation
bin1100101000100101101…
…00001100111000110100
31112111111200121100020000
412110102310030320310
524103022441333220
6531232015311300
743235404525416
oct6242264147064
91474450540200
10434107371060
11158116326070
127017181b530
1331c229496cc
1417021d109b6
15b45ae06390
hex6512d0ce34

434107371060 has 240 divisors, whose sum is σ = 1521848889792. Its totient is φ = 102671193600.

The previous prime is 434107371043. The next prime is 434107371143. The reversal of 434107371060 is 60173701434.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 433539 + ... + 1027701.

Almost surely, 2434107371060 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 434107371060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760924444896).

434107371060 is an abundant number, since it is smaller than the sum of its proper divisors (1087741518732).

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

434107371060 is a wasteful number, since it uses less digits than its factorization.

434107371060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594236 (or 594225 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 434107371060 in words is "four hundred thirty-four billion, one hundred seven million, three hundred seventy-one thousand, sixty".