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332121340 = 225292712113
BaseRepresentation
bin10011110010111…
…100010011111100
3212010221111211101
4103302330103330
51140010340330
652542302444
711141661535
oct2362742374
9763844741
10332121340
11160523751
1293287a24
1353a66505
143217568c
151e2564ca
hex13cbc4fc

332121340 has 48 divisors (see below), whose sum is σ = 724510080. Its totient is φ = 127733760.

The previous prime is 332121323. The next prime is 332121341. The reversal of 332121340 is 43121233.

It is a super-2 number, since 2×3321213402 = 220609168966791200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332121341) 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 15 ways as a sum of consecutive naturals, for example, 156124 + ... + 158236.

It is an arithmetic number, because the mean of its divisors is an integer number (15093960).

Almost surely, 2332121340 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 332121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362255040).

332121340 is an abundant number, since it is smaller than the sum of its proper divisors (392388740).

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

332121340 is a wasteful number, since it uses less digits than its factorization.

332121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 332121340 is about 18224.1965529348. The cubic root of 332121340 is about 692.5199045485.

Adding to 332121340 its reverse (43121233), we get a palindrome (375242573).

The spelling of 332121340 in words is "three hundred thirty-two million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 271 290 542 580 1084 1355 2113 2710 4226 5420 7859 8452 10565 15718 21130 31436 39295 42260 61277 78590 122554 157180 245108 306385 572623 612770 1145246 1225540 2290492 2863115 5726230 11452460 16606067 33212134 66424268 83030335 166060670 332121340