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331520040 = 2336511369
BaseRepresentation
bin10011110000101…
…001100000101000
3212002210222000000
4103300221200220
51134332120130
652521343000
711133605505
oct2360514050
9762728000
10331520040
11160152a05
1293037a60
13538b5907
143205a4ac
151e188260
hex13c29828

331520040 has 112 divisors (see below), whose sum is σ = 1118466900. Its totient is φ = 88397568.

The previous prime is 331520039. The next prime is 331520041. The reversal of 331520040 is 40025133.

It is an interprime number because it is at equal distance from previous prime (331520039) and next prime (331520041).

It can be written as a sum of positive squares in 2 ways, for example, as 331167204 + 352836 = 18198^2 + 594^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 331519995 and 331520022.

It is not an unprimeable number, because it can be changed into a prime (331520041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23476 + ... + 34844.

Almost surely, 2331520040 is an apocalyptic number.

331520040 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 331520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559233450).

331520040 is an abundant number, since it is smaller than the sum of its proper divisors (786946860).

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

331520040 is a wasteful number, since it uses less digits than its factorization.

331520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 331520040 is about 18207.6917812226. The cubic root of 331520040 is about 692.1017202647.

Adding to 331520040 its reverse (40025133), we get a palindrome (371545173).

The spelling of 331520040 in words is "three hundred thirty-one million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 11369 14580 22738 29160 34107 45476 56845 68214 90952 102321 113690 136428 170535 204642 227380 272856 306963 341070 409284 454760 511605 613926 682140 818568 920889 1023210 1227852 1364280 1534815 1841778 2046420 2455704 2762667 3069630 3683556 4092840 4604445 5525334 6139260 7367112 8288001 9208890 11050668 12278520 13813335 16576002 18417780 22101336 27626670 33152004 36835560 41440005 55253340 66304008 82880010 110506680 165760020 331520040