Search a number
-
+
3222034344 = 2332179712711
BaseRepresentation
bin1100000000001100…
…0101011110101000
322022112211022012100
43000003011132220
523044320044334
61251415213400
7142562561064
oct30003053650
98275738170
103222034344
111403833101
1275b077260
133c46b4bc9
14227cc2aa4
1513cd01c99
hexc00c57a8

3222034344 has 96 divisors (see below), whose sum is σ = 9252584640. Its totient is φ = 1009420800.

The previous prime is 3222034313. The next prime is 3222034379. The reversal of 3222034344 is 4434302223.

3222034344 is a `hidden beast` number, since 3 + 2 + 220 + 3 + 434 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187149 + ... + 1189859.

It is an arithmetic number, because the mean of its divisors is an integer number (96381090).

Almost surely, 23222034344 is an apocalyptic number.

3222034344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626292320).

3222034344 is an abundant number, since it is smaller than the sum of its proper divisors (6030550296).

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

3222034344 is a wasteful number, since it uses less digits than its factorization.

3222034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3222034344 is about 56762.9663072676. The cubic root of 3222034344 is about 1476.9871665348.

Adding to 3222034344 its reverse (4434302223), we get a palindrome (7656336567).

It can be divided in two parts, 32220 and 34344, that added together give a square (66564 = 2582).

The spelling of 3222034344 in words is "three billion, two hundred twenty-two million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 971 1224 1942 2711 2913 3884 5422 5826 7768 8133 8739 10844 11652 16266 16507 17478 21688 23304 24399 32532 33014 34956 46087 48798 49521 65064 66028 69912 92174 97596 99042 132056 138261 148563 184348 195192 198084 276522 297126 368696 396168 414783 553044 594252 829566 1106088 1188504 1659132 2632381 3318264 5264762 7897143 10529524 15794286 21059048 23691429 31588572 44750477 47382858 63177144 89500954 94765716 134251431 179001908 189531432 268502862 358003816 402754293 537005724 805508586 1074011448 1611017172 3222034344