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123330340 = 22571078233
BaseRepresentation
bin1110101100111…
…01111100100100
322121001211102101
413112131330210
5223033032330
620123221444
73025201450
oct726357444
9277054371
10123330340
1163686a01
1235377884
131c721a43
1412545660
15ac624ca
hex759df24

123330340 has 48 divisors (see below), whose sum is σ = 298795392. Its totient is φ = 41884416.

The previous prime is 123330271. The next prime is 123330341. The reversal of 123330340 is 43033321.

It is a super-3 number, since 3×1233303403 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123330341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 19096.

It is an arithmetic number, because the mean of its divisors is an integer number (6224904).

Almost surely, 2123330340 is an apocalyptic number.

123330340 is a gapful number since it is divisible by the number (10) 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 123330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149397696).

123330340 is an abundant number, since it is smaller than the sum of its proper divisors (175465052).

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

123330340 is a wasteful number, since it uses less digits than its factorization.

123330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 123330340 is about 11105.4193977535. The cubic root of 123330340 is about 497.7638003991.

Adding to 123330340 its reverse (43033321), we get a palindrome (166363661).

The spelling of 123330340 in words is "one hundred twenty-three million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 8233 14980 16466 32932 41165 57631 82330 115262 164660 230524 288155 576310 880931 1152620 1761862 3523724 4404655 6166517 8809310 12333034 17618620 24666068 30832585 61665170 123330340