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234413463375 = 34537132931283
BaseRepresentation
bin1101101001010000100…
…0011001011101001111
3211102001200021202110000
43122110020121131033
512320034321312000
6255404342015343
722635661364010
oct3322410313517
9742050252400
10234413463375
119046131a623
1239520717553
1319149b7c360
14b4ba74b007
15616e796000
hex369421974f

234413463375 has 640 divisors, whose sum is σ = 576391495680. Its totient is φ = 92098944000.

The previous prime is 234413463293. The next prime is 234413463419. The reversal of 234413463375 is 573364314432.

234413463375 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 1 + 3 + 4 + 633 + 7 + 5 = 666.

234413463375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 234413463375 - 211 = 234413461327 is a prime.

It is a super-2 number, since 2×2344134633752 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 234413463375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 828315984 + ... + 828316266.

It is an arithmetic number, because the mean of its divisors is an integer number (900611712).

Almost surely, 2234413463375 is an apocalyptic number.

234413463375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

234413463375 is an abundant number, since it is smaller than the sum of its proper divisors (341978032305).

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

234413463375 is a wasteful number, since it uses less digits than its factorization.

234413463375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The spelling of 234413463375 in words is "two hundred thirty-four billion, four hundred thirteen million, four hundred sixty-three thousand, three hundred seventy-five".