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234120456 = 2334439823
BaseRepresentation
bin11011111010001…
…10010100001000
3121022112112220000
431331012110020
5434413323311
635122003000
75541663633
oct1575062410
9538475800
10234120456
11110178189
12664a6460
133967291b
1423144c1a
1515849056
hexdf46508

234120456 has 80 divisors (see below), whose sum is σ = 658046400. Its totient is φ = 77767776.

The previous prime is 234120443. The next prime is 234120487. The reversal of 234120456 is 654021432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284061 + ... + 284883.

It is an arithmetic number, because the mean of its divisors is an integer number (8225580).

Almost surely, 2234120456 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 234120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329023200).

234120456 is an abundant number, since it is smaller than the sum of its proper divisors (423925944).

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

234120456 is a wasteful number, since it uses less digits than its factorization.

234120456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 234120456 is about 15300.9952617469. The cubic root of 234120456 is about 616.3297343573.

Adding to 234120456 its reverse (654021432), we get a palindrome (888141888).

The spelling of 234120456 in words is "two hundred thirty-four million, one hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 439 648 823 878 1317 1646 1756 2469 2634 3292 3512 3951 4938 5268 6584 7407 7902 9876 10536 11853 14814 15804 19752 22221 23706 29628 31608 35559 44442 47412 59256 66663 71118 88884 94824 133326 142236 177768 266652 284472 361297 533304 722594 1083891 1445188 2167782 2890376 3251673 4335564 6503346 8671128 9755019 13006692 19510038 26013384 29265057 39020076 58530114 78040152 117060228 234120456