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234524004 = 2231113210513
BaseRepresentation
bin11011111101010…
…00110101100100
3121100022001110020
431332220311210
5440014232004
635134355140
75545264311
oct1576506544
9540261406
10234524004
111104233a0
126665bab0
1339784500
142320bd08
15158c88d9
hexdfa8d64

234524004 has 72 divisors (see below), whose sum is σ = 646484832. Its totient is φ = 65594880.

The previous prime is 234523999. The next prime is 234524009. The reversal of 234524004 is 400425432.

It is an interprime number because it is at equal distance from previous prime (234523999) and next prime (234524009).

It is not an unprimeable number, because it can be changed into a prime (234524009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17052 + ... + 27564.

It is an arithmetic number, because the mean of its divisors is an integer number (8978956).

Almost surely, 2234524004 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 234524004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323242416).

234524004 is an abundant number, since it is smaller than the sum of its proper divisors (411960828).

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

234524004 is a wasteful number, since it uses less digits than its factorization.

234524004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 234524004 is about 15314.1765694405. The cubic root of 234524004 is about 616.6836488465.

Adding to 234524004 its reverse (400425432), we get a palindrome (634949436).

The spelling of 234524004 in words is "two hundred thirty-four million, five hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 3718 5577 7436 10513 11154 21026 22308 31539 42052 63078 115643 126156 136669 231286 273338 346929 410007 462572 546676 693858 820014 1387716 1503359 1640028 1776697 3006718 3553394 4510077 5330091 6013436 7106788 9020154 10660182 18040308 19543667 21320364 39087334 58631001 78174668 117262002 234524004