Search a number
-
+
311173920 = 2533572031
BaseRepresentation
bin10010100011000…
…010001100100000
3210200112021101000
4102203002030200
51114130031140
650513312000
710465635411
oct2243021440
9720467330
10311173920
1114a716632
1288265600
134c610aa5
142d481808
151c4b9a30
hex128c2320

311173920 has 96 divisors (see below), whose sum is σ = 1089123840. Its totient is φ = 82978560.

The previous prime is 311173913. The next prime is 311173921. The reversal of 311173920 is 29371113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (311173921) 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, 31696 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (11345040).

Almost surely, 2311173920 is an apocalyptic number.

311173920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311173920 is an abundant number, since it is smaller than the sum of its proper divisors (777949920).

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

311173920 is a wasteful number, since it uses less digits than its factorization.

311173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72055 (or 72041 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 311173920 is about 17640.1224485546. The cubic root of 311173920 is about 677.6431672315.

The spelling of 311173920 in words is "three hundred eleven million, one hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 72031 144062 216093 288124 360155 432186 576248 648279 720310 864372 1080465 1152496 1296558 1440620 1728744 1944837 2160930 2304992 2593116 2881240 3241395 3457488 3889674 4321860 5186232 5762480 6482790 6914976 7779348 8643720 9724185 10372464 11524960 12965580 15558696 17287440 19448370 20744928 25931160 31117392 34574880 38896740 51862320 62234784 77793480 103724640 155586960 311173920