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31431000 = 2335310477
BaseRepresentation
bin111011111100…
…1100101011000
32012010212020010
41313321211120
531021243000
63041401520
7531105366
oct167714530
965125203
1031431000
1116818637
12a6392a0
136686433
144262636
152b5cd50
hex1df9958

31431000 has 64 divisors (see below), whose sum is σ = 98074080. Its totient is φ = 8380800.

The previous prime is 31430957. The next prime is 31431013. The reversal of 31431000 is 13413.

It is a super-2 number, since 2×314310002 = 1975815522000000, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239 + ... + 8238.

Almost surely, 231431000 is an apocalyptic number.

31431000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31431000 is an abundant number, since it is smaller than the sum of its proper divisors (66643080).

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

31431000 is a wasteful number, since it uses less digits than its factorization.

31431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31431000 is about 5606.3357016861. The cubic root of 31431000 is about 315.5872140499.

Adding to 31431000 its reverse (13413), we get a palindrome (31444413).

The spelling of 31431000 in words is "thirty-one million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 10477 20954 31431 41908 52385 62862 83816 104770 125724 157155 209540 251448 261925 314310 419080 523850 628620 785775 1047700 1257240 1309625 1571550 2095400 2619250 3143100 3928875 5238500 6286200 7857750 10477000 15715500 31431000