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332940 = 223531179
BaseRepresentation
bin1010001010010001100
3121220201010
41101102030
541123230
611045220
72554446
oct1212214
9556633
10332940
11208163
12140810
13b870a
1489496
15689b0
hex5148c

332940 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 85440.

The previous prime is 332933. The next prime is 332947. The reversal of 332940 is 49233.

332940 = T37 + T38 + ... + T126.

332940 = 712 + 722 + ... + 1102.

332940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (332933) and next prime (332947).

It is a super-2 number, since 2×3329402 = 221698087200, which contains 22 as substring.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (332947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771 + ... + 1949.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2332940 is an apocalyptic number.

332940 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 332940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

332940 is an abundant number, since it is smaller than the sum of its proper divisors (634740).

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

332940 is a wasteful number, since it uses less digits than its factorization.

332940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 332940 is about 577.0095319837. The cubic root of 332940 is about 69.3088444908.

It can be divided in two parts, 33 and 2940, that multiplied together give a triangular number (97020 = T440).

The spelling of 332940 in words is "three hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 179 186 310 358 372 465 537 620 716 895 930 1074 1790 1860 2148 2685 3580 5370 5549 10740 11098 16647 22196 27745 33294 55490 66588 83235 110980 166470 332940