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338134620 = 22356019377
BaseRepresentation
bin10100001001111…
…000011001011100
3212120021000111110
4110021320121130
51143030301440
653315222020
711244045135
oct2411703134
9776230443
10338134620
111639605aa
12952a7910
1355090575
1432c9cc8c
151ea43080
hex1427865c

338134620 has 48 divisors (see below), whose sum is σ = 948453408. Its totient is φ = 90009600.

The previous prime is 338134609. The next prime is 338134627. The reversal of 338134620 is 26431833.

It is a super-2 number, since 2×3381346202 = 228670042485088800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338134627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31372 + ... + 40748.

It is an arithmetic number, because the mean of its divisors is an integer number (19759446).

Almost surely, 2338134620 is an apocalyptic number.

338134620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338134620 is an abundant number, since it is smaller than the sum of its proper divisors (610318788).

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

338134620 is a wasteful number, since it uses less digits than its factorization.

338134620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 338134620 is about 18388.4371277170. The cubic root of 338134620 is about 696.6744436708.

The spelling of 338134620 in words is "three hundred thirty-eight million, one hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601 1202 1803 2404 3005 3606 6010 7212 9015 9377 12020 18030 18754 28131 36060 37508 46885 56262 93770 112524 140655 187540 281310 562620 5635577 11271154 16906731 22542308 28177885 33813462 56355770 67626924 84533655 112711540 169067310 338134620