Search a number
-
+
234616564 = 227134211531
BaseRepresentation
bin11011111101111…
…11011011110100
3121100110202102101
431332333123310
5440030212224
635140351444
75546131210
oct1576773364
9540422371
10234616564
11110486996
12666a5584
13397b7690
1423233940
15158e6044
hexdfbf6f4

234616564 has 48 divisors (see below), whose sum is σ = 506859136. Its totient is φ = 92534400.

The previous prime is 234616493. The next prime is 234616567. The reversal of 234616564 is 465616432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234616567) 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, 152479 + ... + 154009.

Almost surely, 2234616564 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 234616564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253429568).

234616564 is an abundant number, since it is smaller than the sum of its proper divisors (272242572).

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

234616564 is a wasteful number, since it uses less digits than its factorization.

234616564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 234616564 is about 15317.1983077846. The cubic root of 234616564 is about 616.7647673815.

The spelling of 234616564 in words is "two hundred thirty-four million, six hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 421 842 1531 1684 2947 3062 5473 5894 6124 10717 10946 11788 19903 21434 21892 38311 39806 42868 76622 79612 139321 153244 278642 557284 644551 1289102 2578204 4511857 8379163 9023714 16758326 18047428 33516652 58654141 117308282 234616564