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34324231824 = 2432154392
BaseRepresentation
bin11111111101111000…
…100011011010010000
310021121010002122021100
4133331320203122100
51030244000404244
623433543224400
72323405104501
oct377570433220
9107533078240
1034324231824
1113614152443
12679b148100
133310219c5c
14193887cba8
15d5d597b69
hex7fde23690

34324231824 has 45 divisors (see below), whose sum is σ = 96066398883. Its totient is φ = 11440669536.

The previous prime is 34324231801. The next prime is 34324231831. The reversal of 34324231824 is 42813242343.

The square root of 34324231824 is 185268.

It is a perfect power (a square), and thus also a powerful number.

34324231824 is a `hidden beast` number, since 3 + 432 + 42 + 3 + 182 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2215497 + ... + 2230935.

Almost surely, 234324231824 is an apocalyptic number.

34324231824 is the 185268-th square number.

It is an amenable number.

34324231824 is an abundant number, since it is smaller than the sum of its proper divisors (61742167059).

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

34324231824 is an frugal number, since it uses more digits than its factorization.

34324231824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30892 (or 15444 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Multiplying 34324231824 by its sum of digits (36), we get a square (1235672345664 = 11116082).

34324231824 divided by its sum of digits (36) gives a square (953450884 = 308782).

The spelling of 34324231824 in words is "thirty-four billion, three hundred twenty-four million, two hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15439 30878 46317 61756 92634 123512 138951 185268 247024 277902 370536 555804 741072 1111608 2223216 238362721 476725442 715088163 953450884 1430176326 1906901768 2145264489 2860352652 3813803536 4290528978 5720705304 8581057956 11441410608 17162115912 34324231824