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31311450 = 23252174093
BaseRepresentation
bin111011101110…
…0011001011010
32011220210020100
41313130121122
531003431300
63035040230
7530100012
oct167343132
964823210
1031311450
1116746835
12a5a0076
136643bb1
144230c42
152b37700
hex1ddc65a

31311450 has 72 divisors (see below), whose sum is σ = 89093628. Its totient is φ = 7856640.

The previous prime is 31311437. The next prime is 31311461. The reversal of 31311450 is 5411313.

It can be written as a sum of positive squares in 6 ways, for example, as 14493249 + 16818201 = 3807^2 + 4101^2 .

It is a super-2 number, since 2×313114502 = 1960813802205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5604 + ... + 9696.

Almost surely, 231311450 is an apocalyptic number.

31311450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44546814).

31311450 is an abundant number, since it is smaller than the sum of its proper divisors (57782178).

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

31311450 is a wasteful number, since it uses less digits than its factorization.

31311450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 31311450 is about 5595.6634995325. The cubic root of 31311450 is about 315.1865863570.

Adding to 31311450 its reverse (5411313), we get a palindrome (36722763).

The spelling of 31311450 in words is "thirty-one million, three hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 4093 7650 8186 12279 20465 24558 36837 40930 61395 69581 73674 102325 122790 139162 184185 204650 208743 306975 347905 368370 417486 613950 626229 695810 920925 1043715 1252458 1739525 1841850 2087430 3131145 3479050 5218575 6262290 10437150 15655725 31311450