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434368037 = 17972411093
BaseRepresentation
bin11001111000111…
…110111000100101
31010021100011221002
4121320332320211
51342144234122
6111034003045
713523032055
oct3170767045
91107304832
10434368037
1120320a154
12101576485
136bcb580c
144198d565
1528201992
hex19e3ee25

434368037 has 16 divisors (see below), whose sum is σ = 467015472. Its totient is φ = 402554880.

The previous prime is 434368021. The next prime is 434368057. The reversal of 434368037 is 730863434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 133033156 + 301334881 = 11534^2 + 17359^2 .

It is a cyclic number.

It is not a de Polignac number, because 434368037 - 24 = 434368021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434368057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 396863 + ... + 397955.

It is an arithmetic number, because the mean of its divisors is an integer number (29188467).

Almost surely, 2434368037 is an apocalyptic number.

It is an amenable number.

434368037 is a deficient number, since it is larger than the sum of its proper divisors (32647435).

434368037 is a wasteful number, since it uses less digits than its factorization.

434368037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448.

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 434368037 is about 20841.4979548016. The cubic root of 434368037 is about 757.3313821190.

The spelling of 434368037 in words is "four hundred thirty-four million, three hundred sixty-eight thousand, thirty-seven".

Divisors: 1 17 97 241 1093 1649 4097 18581 23377 106021 263413 397409 1802357 4478021 25551061 434368037