Search a number
-
+
322053264 = 243213891933
BaseRepresentation
bin10011001100100…
…010010010010000
3211110000000000200
4103030202102100
51124421201024
651542415200
710660256541
oct2314422220
9743000020
10322053264
11155877425
128ba31500
135194c980
1430ab44c8
151d4182c9
hex13322490

322053264 has 120 divisors (see below), whose sum is σ = 982046520. Its totient is φ = 97929216.

The previous prime is 322053247. The next prime is 322053269. The reversal of 322053264 is 462350223.

It can be written as a sum of positive squares in 4 ways, for example, as 4928400 + 317124864 = 2220^2 + 17808^2 .

It is not an unprimeable number, because it can be changed into a prime (322053269) 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, 165642 + ... + 167574.

It is an arithmetic number, because the mean of its divisors is an integer number (8183721).

Almost surely, 2322053264 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 322053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491023260).

322053264 is an abundant number, since it is smaller than the sum of its proper divisors (659993256).

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

322053264 is a wasteful number, since it uses less digits than its factorization.

322053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 322053264 is about 17945.8425268918. The cubic root of 322053264 is about 685.4501908595.

The spelling of 322053264 in words is "three hundred twenty-two million, fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 89 104 117 144 156 178 208 234 267 312 356 468 534 624 712 801 936 1068 1157 1424 1602 1872 1933 2136 2314 3204 3471 3866 4272 4628 5799 6408 6942 7732 9256 10413 11598 12816 13884 15464 17397 18512 20826 23196 25129 27768 30928 34794 41652 46392 50258 55536 69588 75387 83304 92784 100516 139176 150774 166608 172037 201032 226161 278352 301548 344074 402064 452322 516111 603096 688148 904644 1032222 1206192 1376296 1548333 1809288 2064444 2236481 2752592 3096666 3618576 4128888 4472962 6193332 6709443 8257776 8945924 12386664 13418886 17891848 20128329 24773328 26837772 35783696 40256658 53675544 80513316 107351088 161026632 322053264