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234288054 = 2327111313003
BaseRepresentation
bin11011111011011…
…11001110110110
3121022212001210100
431331233032312
5434434204204
635125334530
75543262360
oct1575571666
9538761710
10234288054
111102820a0
1266567446
1339700cb0
1423189d30
151587da39
hexdf6f3b6

234288054 has 96 divisors (see below), whose sum is σ = 681617664. Its totient is φ = 56168640.

The previous prime is 234288053. The next prime is 234288083. The reversal of 234288054 is 450882432.

234288054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234288053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11517 + ... + 24519.

It is an arithmetic number, because the mean of its divisors is an integer number (7100184).

Almost surely, 2234288054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234288054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340808832).

234288054 is an abundant number, since it is smaller than the sum of its proper divisors (447329610).

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

234288054 is a wasteful number, since it uses less digits than its factorization.

234288054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13039 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 234288054 is about 15306.4709845215. The cubic root of 234288054 is about 616.4767683441.

The spelling of 234288054 in words is "two hundred thirty-four million, two hundred eighty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 13003 18018 26006 39009 78018 91021 117027 143033 169039 182042 234054 273063 286066 338078 429099 507117 546126 819189 858198 1001231 1014234 1183273 1287297 1521351 1638378 1859429 2002462 2366546 2574594 3003693 3042702 3549819 3718858 5578287 6007386 7099638 9011079 10649457 11156574 13016003 16734861 18022158 21298914 26032006 33469722 39048009 78096018 117144027 234288054