Search a number
-
+
234124432024 = 23737881128257
BaseRepresentation
bin1101101000001011100…
…1110101001010011000
3211101022112102102222011
43122002321311022120
512313441323311044
6255315535035304
722625551560010
oct3320271651230
9741275372864
10234124432024
119032315803a
123945b96bb34
1319102021ca2
14b4901d0c40
156154202134
hex3682e75298

234124432024 has 64 divisors (see below), whose sum is σ = 515843415360. Its totient is φ = 97515601920.

The previous prime is 234124432007. The next prime is 234124432027. The reversal of 234124432024 is 420234421432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234124432027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761304 + ... + 1889560.

It is an arithmetic number, because the mean of its divisors is an integer number (8060053365).

Almost surely, 2234124432024 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 234124432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257921707680).

234124432024 is an abundant number, since it is smaller than the sum of its proper divisors (281718983336).

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

234124432024 is a wasteful number, since it uses less digits than its factorization.

234124432024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129188 (or 129184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 234124432024 its reverse (420234421432), we get a palindrome (654358853456).

The spelling of 234124432024 in words is "two hundred thirty-four billion, one hundred twenty-four million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 881 1036 1762 2072 3524 6167 7048 12334 24668 32597 49336 65194 128257 130388 228179 256514 260776 456358 513028 897799 912716 1026056 1795598 1825432 3591196 4745509 7182392 9491018 18982036 33218563 37964072 66437126 112994417 132874252 225988834 265748504 451977668 790960919 903955336 1581921838 3163843676 4180793429 6327687352 8361586858 16723173716 29265554003 33446347432 58531108006 117062216012 234124432024