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31323000 = 2335353197
BaseRepresentation
bin111011101111…
…1001101111000
32011221101002010
41313133031320
531004314000
63035205520
7530145462
oct167371570
964841063
1031323000
1116754485
12a5a68a0
136649227
144235132
152b3ad50
hex1ddf378

31323000 has 128 divisors (see below), whose sum is σ = 100077120. Its totient is φ = 8153600.

The previous prime is 31322983. The next prime is 31323023. The reversal of 31323000 is 32313.

It is a happy number.

It is a super-2 number, since 2×313230002 = 1962260658000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158902 + ... + 159098.

Almost surely, 231323000 is an apocalyptic number.

31323000 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 31323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50038560).

31323000 is an abundant number, since it is smaller than the sum of its proper divisors (68754120).

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

31323000 is a wasteful number, since it uses less digits than its factorization.

31323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 31323000 is about 5596.6954535690. The cubic root of 31323000 is about 315.2253363728.

Adding to 31323000 its reverse (32313), we get a palindrome (31355313).

The spelling of 31323000 in words is "thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 197 200 212 250 265 300 318 375 394 424 500 530 591 600 636 750 788 795 985 1000 1060 1182 1272 1325 1500 1576 1590 1970 2120 2364 2650 2955 3000 3180 3940 3975 4728 4925 5300 5910 6360 6625 7880 7950 9850 10441 10600 11820 13250 14775 15900 19700 19875 20882 23640 24625 26500 29550 31323 31800 39400 39750 41764 49250 52205 53000 59100 62646 73875 79500 83528 98500 104410 118200 125292 147750 156615 159000 197000 208820 250584 261025 295500 313230 417640 522050 591000 626460 783075 1044100 1252920 1305125 1566150 2088200 2610250 3132300 3915375 5220500 6264600 7830750 10441000 15661500 31323000