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331213536 = 2534532411
BaseRepresentation
bin10011101111011…
…110101011100000
3212002020101120000
4103233132223200
51134242313121
652511020000
711131161063
oct2357365340
9762211500
10331213536
1115aa636a5
1292b0a600
1353809254
1431dba8da
151e127526
hex13bdeae0

331213536 has 120 divisors (see below), whose sum is σ = 992880504. Its totient is φ = 108276480.

The previous prime is 331213523. The next prime is 331213537. The reversal of 331213536 is 635312133.

It is a happy number.

331213536 is a `hidden beast` number, since 3 + 3 + 121 + 3 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213537) 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 19 ways as a sum of consecutive naturals, for example, 136171 + ... + 138581.

Almost surely, 2331213536 is an apocalyptic number.

331213536 is a gapful number since it is divisible by the number (36) 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 331213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496440252).

331213536 is an abundant number, since it is smaller than the sum of its proper divisors (661666968).

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

331213536 is a wasteful number, since it uses less digits than its factorization.

331213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2469 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 331213536 is about 18199.2729525110. The cubic root of 331213536 is about 691.8883622686. Note that the first 3 decimals are identical.

Adding to 331213536 its reverse (635312133), we get a palindrome (966525669).

The spelling of 331213536 in words is "three hundred thirty-one million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1272 1296 1431 1696 1908 2411 2544 2592 2862 3816 4293 4822 5088 5724 7233 7632 8586 9644 11448 14466 15264 17172 19288 21699 22896 28932 34344 38576 43398 45792 57864 65097 68688 77152 86796 115728 127783 130194 137376 173592 195291 231456 255566 260388 347184 383349 390582 511132 520776 694368 766698 781164 1022264 1041552 1150047 1533396 1562328 2044528 2083104 2300094 3066792 3124656 3450141 4089056 4600188 6133584 6249312 6900282 9200376 10350423 12267168 13800564 18400752 20700846 27601128 36801504 41401692 55202256 82803384 110404512 165606768 331213536