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338342430 = 23537304813
BaseRepresentation
bin10100001010101…
…011001000011110
3212120122120120010
4110022223020132
51143103424210
653323504050
711245602036
oct2412531036
9776576503
10338342430
11163a92748
1295388026
135513402a
1432d148c6
151ea84920
hex142ab21e

338342430 has 32 divisors (see below), whose sum is σ = 833971104. Its totient is φ = 87785856.

The previous prime is 338342423. The next prime is 338342437. The reversal of 338342430 is 34243833.

It is an interprime number because it is at equal distance from previous prime (338342423) and next prime (338342437).

It is a super-2 number, since 2×3383424302 = 228951199876609800, 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 (338342437) 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, 151297 + ... + 153516.

It is an arithmetic number, because the mean of its divisors is an integer number (26061597).

Almost surely, 2338342430 is an apocalyptic number.

338342430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338342430 is an abundant number, since it is smaller than the sum of its proper divisors (495628674).

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

338342430 is a wasteful number, since it uses less digits than its factorization.

338342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304860.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 338342430 is about 18394.0868215848. The cubic root of 338342430 is about 696.8171346377.

The spelling of 338342430 in words is "three hundred thirty-eight million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 304813 609626 914439 1524065 1828878 3048130 4572195 9144390 11278081 22556162 33834243 56390405 67668486 112780810 169171215 338342430