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331124040 = 233251370753
BaseRepresentation
bin10011101111001…
…000110101001000
3212002001211210100
4103233020311020
51134231432130
652505045400
711130336132
oct2357106510
9762054710
10331124040
1115aa02435
1292a86860
13537a75b0
1431d96052
151e10ac60
hex13bc8d48

331124040 has 96 divisors (see below), whose sum is σ = 1158950520. Its totient is φ = 81506304.

The previous prime is 331124033. The next prime is 331124047. The reversal of 331124040 is 40421133.

It is an interprime number because it is at equal distance from previous prime (331124033) and next prime (331124047).

It can be written as a sum of positive squares in 4 ways, for example, as 158306724 + 172817316 = 12582^2 + 13146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331124047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30697 + ... + 40056.

Almost surely, 2331124040 is an apocalyptic number.

331124040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331124040 is an abundant number, since it is smaller than the sum of its proper divisors (827826480).

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

331124040 is a wasteful number, since it uses less digits than its factorization.

331124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70783 (or 70776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331124040 is about 18196.8140068530. The cubic root of 331124040 is about 691.8260391124.

Adding to 331124040 its reverse (40421133), we get a palindrome (371545173).

The spelling of 331124040 in words is "three hundred thirty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 70753 141506 212259 283012 353765 424518 566024 636777 707530 849036 919789 1061295 1273554 1415060 1698072 1839578 2122590 2547108 2759367 2830120 3183885 3679156 4245180 4598945 5094216 5518734 6367770 7358312 8278101 8490360 9197890 11037468 12735540 13796835 16556202 18395780 22074936 25471080 27593670 33112404 36791560 41390505 55187340 66224808 82781010 110374680 165562020 331124040