Search a number
-
+
234373664 = 2572197867
BaseRepresentation
bin11011111100001…
…00001000100000
3121100000102020002
431332010020200
5434444424124
635131235132
75544100100
oct1576041040
9540012202
10234373664
11110330448
12665a8aa8
1339730c55
14231ad200
15158990ae
hexdf84220

234373664 has 72 divisors (see below), whose sum is σ = 565079760. Its totient is φ = 95147136.

The previous prime is 234373619. The next prime is 234373687. The reversal of 234373664 is 466373432.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25859 + ... + 33725.

It is an arithmetic number, because the mean of its divisors is an integer number (7848330).

Almost surely, 2234373664 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 234373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282539880).

234373664 is an abundant number, since it is smaller than the sum of its proper divisors (330706096).

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

234373664 is a wasteful number, since it uses less digits than its factorization.

234373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7895 counting only the distinct ones).

The product of its digits is 217728, while the sum is 38.

The square root of 234373664 is about 15309.2672587554. The cubic root of 234373664 is about 616.5518470749.

The spelling of 234373664 in words is "two hundred thirty-four million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 7867 14896 15734 29792 31468 55069 62936 110138 125872 149473 220276 251744 298946 385483 440552 597892 770966 881104 1046311 1195784 1541932 1762208 2092622 2391568 3083864 4185244 4783136 6167728 7324177 8370488 12335456 14648354 16740976 29296708 33481952 58593416 117186832 234373664