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338816340 = 223251882313
BaseRepresentation
bin10100001100011…
…110110101010100
3212121112122122100
4110030132311110
51143214110330
653342002100
711252614512
oct2414366524
9777478570
10338816340
11164286805
1295576330
135526b955
1432dd94b2
151eb2a060
hex1431ed54

338816340 has 36 divisors (see below), whose sum is σ = 1027743444. Its totient is φ = 90350976.

The previous prime is 338816327. The next prime is 338816347. The reversal of 338816340 is 43618833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 236482884 = 10116^2 + 15378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3388163402 = 229593024501991200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338816295 and 338816304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338816347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 940977 + ... + 941336.

It is an arithmetic number, because the mean of its divisors is an integer number (28548429).

Almost surely, 2338816340 is an apocalyptic number.

338816340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338816340 is an abundant number, since it is smaller than the sum of its proper divisors (688927104).

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

338816340 is a wasteful number, since it uses less digits than its factorization.

338816340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882328 (or 1882323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338816340 is about 18406.9644428406. The cubic root of 338816340 is about 697.1423224919.

The spelling of 338816340 in words is "three hundred thirty-eight million, eight hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1882313 3764626 5646939 7529252 9411565 11293878 16940817 18823130 22587756 28234695 33881634 37646260 56469390 67763268 84704085 112938780 169408170 338816340