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331033332 = 223767131449
BaseRepresentation
bin10011101110110…
…010101011110100
3212001220020100210
4103232302223310
51134221031312
652503105420
711126510520
oct2356625364
9761806323
10331033332
1115a950273
1292a42270
1353775216
1431d70d80
151e0dde3c
hex13bb2af4

331033332 has 96 divisors (see below), whose sum is σ = 904780800. Its totient is φ = 92252160.

The previous prime is 331033331. The next prime is 331033337. The reversal of 331033332 is 233330133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 331033299 and 331033308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331033331) 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 31 ways as a sum of consecutive naturals, for example, 737044 + ... + 737492.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2331033332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

331033332 is an abundant number, since it is smaller than the sum of its proper divisors (573747468).

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

331033332 is a wasteful number, since it uses less digits than its factorization.

331033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 331033332 is about 18194.3214218063. The cubic root of 331033332 is about 691.7628604845.

Adding to 331033332 its reverse (233330133), we get a palindrome (564363465).

The spelling of 331033332 in words is "three hundred thirty-one million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 131 134 201 262 268 393 402 449 469 524 786 804 898 917 938 1347 1407 1572 1796 1834 1876 2694 2751 2814 3143 3668 5388 5502 5628 6286 8777 9429 11004 12572 17554 18858 26331 30083 35108 37716 52662 58819 60166 61439 90249 105324 117638 120332 122878 176457 180498 184317 210581 235276 245756 352914 360996 368634 411733 421162 631743 705828 737268 823466 842324 1235199 1263486 1646932 2470398 2526972 3940873 4940796 7881746 11822619 15763492 23645238 27586111 47290476 55172222 82758333 110344444 165516666 331033332