Search a number
-
+
338003016 = 233134126423
BaseRepresentation
bin10100001001011…
…000010001001000
3212120000022222020
4110021120101020
51143012044031
653312324440
711242656351
oct2411302110
9776008866
10338003016
1116388073a
1295243720
13550456b0
1432c66d28
151ea19096
hex14258448

338003016 has 64 divisors (see below), whose sum is σ = 932238720. Its totient is φ = 101460480.

The previous prime is 338002979. The next prime is 338003047. The reversal of 338003016 is 610300833.

It is a super-2 number, since 2×3380030162 = 228492077650192512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 26003.

It is an arithmetic number, because the mean of its divisors is an integer number (14566230).

Almost surely, 2338003016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338003016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466119360).

338003016 is an abundant number, since it is smaller than the sum of its proper divisors (594235704).

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

338003016 is a wasteful number, since it uses less digits than its factorization.

338003016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26482 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 338003016 is about 18384.8583350539. The cubic root of 338003016 is about 696.5840486670.

Adding to 338003016 its reverse (610300833), we get a palindrome (948303849).

The spelling of 338003016 in words is "three hundred thirty-eight million, three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 26423 52846 79269 105692 158538 211384 317076 343499 634152 686998 1030497 1083343 1373996 2060994 2166686 2747992 3250029 4121988 4333372 6500058 8243976 8666744 13000116 14083459 26000232 28166918 42250377 56333836 84500754 112667672 169001508 338003016