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397212840 = 233251676607
BaseRepresentation
bin10111101011001…
…111110010101000
31000200102111120200
4113223033302220
51303141302330
6103225352200
712562152633
oct2753176250
91020374520
10397212840
11194241982
12b1038660
13643a6aab
143aa7ac1a
1524d12a60
hex17acfca8

397212840 has 96 divisors (see below), whose sum is σ = 1298868480. Its totient is φ = 105273216.

The previous prime is 397212833. The next prime is 397212847. The reversal of 397212840 is 48212793.

It is an interprime number because it is at equal distance from previous prime (397212833) and next prime (397212847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397212795 and 397212804.

It is not an unprimeable number, because it can be changed into a prime (397212847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56817 + ... + 63423.

It is an arithmetic number, because the mean of its divisors is an integer number (13529880).

Almost surely, 2397212840 is an apocalyptic number.

397212840 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 397212840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649434240).

397212840 is an abundant number, since it is smaller than the sum of its proper divisors (901655640).

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

397212840 is a wasteful number, since it uses less digits than its factorization.

397212840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 397212840 is about 19930.1991961947. The cubic root of 397212840 is about 735.0909786035.

The spelling of 397212840 in words is "three hundred ninety-seven million, two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6607 6680 7515 10020 12024 13214 15030 19821 20040 26428 30060 33035 39642 52856 59463 60120 66070 79284 99105 118926 132140 158568 198210 237852 264280 297315 396420 475704 594630 792840 1103369 1189260 2206738 2378520 3310107 4413476 5516845 6620214 8826952 9930321 11033690 13240428 16550535 19860642 22067380 26480856 33101070 39721284 44134760 49651605 66202140 79442568 99303210 132404280 198606420 397212840