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123334480 = 2451541681
BaseRepresentation
bin1110101100111…
…10111101010000
322121002001002201
413112132331100
5223033200410
620123252544
73025216513
oct726367520
9277061081
10123334480
116368a025
123537a154
131c7238a9
1412546d7a
15ac6383a
hex759ef50

123334480 has 20 divisors (see below), whose sum is σ = 286752852. Its totient is φ = 49333760.

The previous prime is 123334459. The next prime is 123334483. The reversal of 123334480 is 84433321.

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 27920656 = 9768^2 + 5284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1233344804 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123334483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770761 + ... + 770920.

Almost surely, 2123334480 is an apocalyptic number.

123334480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123334480 is an abundant number, since it is smaller than the sum of its proper divisors (163418372).

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

123334480 is a wasteful number, since it uses less digits than its factorization.

123334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541694 (or 1541688 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 123334480 is about 11105.6057916712. The cubic root of 123334480 is about 497.7693700453.

The spelling of 123334480 in words is "one hundred twenty-three million, three hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1541681 3083362 6166724 7708405 12333448 15416810 24666896 30833620 61667240 123334480