[go: up one dir, main page]

Search a number
-
+
320044992 = 26317313163
BaseRepresentation
bin10011000100110…
…111111111000000
3211022012222012020
4103010313333000
51123412414432
651431401440
710634223531
oct2304677700
9738188166
10320044992
111547255a3
128b223280
13513c8847
1430710688
151d16d22c
hex13137fc0

320044992 has 112 divisors (see below), whose sum is σ = 925811712. Its totient is φ = 97136640.

The previous prime is 320044973. The next prime is 320044993. The reversal of 320044992 is 299440023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320044993) 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, 99603 + ... + 102765.

It is an arithmetic number, because the mean of its divisors is an integer number (8266176).

Almost surely, 2320044992 is an apocalyptic number.

320044992 is a gapful number since it is divisible by the number (32) 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 320044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462905856).

320044992 is an abundant number, since it is smaller than the sum of its proper divisors (605766720).

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

320044992 is a wasteful number, since it uses less digits than its factorization.

320044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 320044992 is about 17889.8013404286. The cubic root of 320044992 is about 684.0224335175.

The spelling of 320044992 in words is "three hundred twenty million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3163 3264 4216 5952 6324 6326 8432 9489 12648 12652 16864 18978 25296 25304 33728 37956 50592 50608 53771 75912 98053 101184 101216 107542 151824 161313 196106 202432 215084 294159 303648 322626 392212 430168 588318 607296 645252 784424 860336 1176636 1290504 1568848 1666901 1720672 2353272 2581008 3137696 3333802 3441344 4706544 5000703 5162016 6275392 6667604 9413088 10001406 10324032 13335208 18826176 20002812 26670416 40005624 53340832 80011248 106681664 160022496 320044992