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338429898 = 23237736961
BaseRepresentation
bin10100001011000…
…000011111001010
3212120211000112200
4110023000133022
51143114224043
653325421030
711246415042
oct2413003712
9776730480
10338429898
11164042434
129540a776
1355164aa1
1432d38722
151eaa07d3
hex142c07ca

338429898 has 48 divisors (see below), whose sum is σ = 763508616. Its totient is φ = 108241920.

The previous prime is 338429879. The next prime is 338429899. The reversal of 338429898 is 898924833.

It is a happy number.

338429898 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 338302449 + 127449 = 18393^2 + 357^2 .

It is a super-2 number, since 2×3384298982 = 229069591720580808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338429899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45138 + ... + 52098.

Almost surely, 2338429898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338429898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381754308).

338429898 is an abundant number, since it is smaller than the sum of its proper divisors (425078718).

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

338429898 is a wasteful number, since it uses less digits than its factorization.

338429898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7076 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 338429898 is about 18396.4642798555. The cubic root of 338429898 is about 696.8771763236.

The spelling of 338429898 in words is "three hundred thirty-eight million, four hundred twenty-nine thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 1314 2701 5402 6961 8103 13922 16206 20883 24309 41766 48618 62649 125298 257557 508153 515114 772671 1016306 1524459 1545342 2318013 3048918 4573377 4636026 9146754 18801661 37603322 56404983 112809966 169214949 338429898