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331431534 = 23377312011
BaseRepresentation
bin10011110000010…
…011111001101110
3212002122110121000
4103300103321232
51134321302114
652515421130
711133056460
oct2360237156
9762573530
10331431534
111600a2465
1292bb47a6
1353884545
1432036130
151e16be09
hex13c13e6e

331431534 has 64 divisors (see below), whose sum is σ = 853332480. Its totient is φ = 93389760.

The previous prime is 331431511. The next prime is 331431539. The reversal of 331431534 is 435134133.

331431534 is a `hidden beast` number, since 3 + 314 + 315 + 34 = 666.

331431534 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331431498 and 331431507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331431539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21589 + ... + 33599.

It is an arithmetic number, because the mean of its divisors is an integer number (13333320).

Almost surely, 2331431534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331431534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426666240).

331431534 is an abundant number, since it is smaller than the sum of its proper divisors (521900946).

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

331431534 is a wasteful number, since it uses less digits than its factorization.

331431534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12096 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 331431534 is about 18205.2611626420. The cubic root of 331431534 is about 692.0401245849.

Adding to 331431534 its reverse (435134133), we get a palindrome (766565667).

The spelling of 331431534 in words is "three hundred thirty-one million, four hundred thirty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 9198 12011 13797 24022 27594 36033 72066 84077 108099 168154 216198 252231 324297 504462 648594 756693 876803 1513386 1753606 2270079 2630409 4540158 5260818 6137621 7891227 12275242 15782454 18412863 23673681 36825726 47347362 55238589 110477178 165715767 331431534