Search a number
-
+
31339800 = 23325223757
BaseRepresentation
bin111011110001…
…1010100011000
32011222020010100
41313203110120
531010333200
63035415400
7530245452
oct167432430
964866110
1031339800
1116766068
12a5b4560
136653a7b
14423b2d2
152b40d00
hex1de3518

31339800 has 144 divisors (see below), whose sum is σ = 109970640. Its totient is φ = 7983360.

The previous prime is 31339799. The next prime is 31339811. The reversal of 31339800 is 893313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41022 + ... + 41778.

It is an arithmetic number, because the mean of its divisors is an integer number (763685).

Almost surely, 231339800 is an apocalyptic number.

31339800 is a gapful number since it is divisible by the number (30) 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 31339800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985320).

31339800 is an abundant number, since it is smaller than the sum of its proper divisors (78630840).

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

31339800 is a wasteful number, since it uses less digits than its factorization.

31339800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31339800 is about 5598.1961380430. The cubic root of 31339800 is about 315.2816830312.

The spelling of 31339800 in words is "thirty-one million, three hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 757 828 900 920 1035 1150 1380 1514 1656 1725 1800 2070 2271 2300 2760 3028 3450 3785 4140 4542 4600 5175 6056 6813 6900 7570 8280 9084 10350 11355 13626 13800 15140 17411 18168 18925 20700 22710 27252 30280 34065 34822 37850 41400 45420 52233 54504 56775 68130 69644 75700 87055 90840 104466 113550 136260 139288 151400 156699 170325 174110 208932 227100 261165 272520 313398 340650 348220 417864 435275 454200 522330 626796 681300 696440 783495 870550 1044660 1253592 1305825 1362600 1566990 1741100 2089320 2611650 3133980 3482200 3917475 5223300 6267960 7834950 10446600 15669900 31339800