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338450241834 = 23389103683713
BaseRepresentation
bin1001110110011010011…
…01001101100100101010
31012100121011211200201000
410323031031031210222
521021121230214314
6415252031135430
733311053405635
oct4731515154452
91170534750630
10338450241834
1112059937a071
1255716374576
1325bb9ab98b3
1412549976c1c
158c0d0bd209
hex4ecd34d92a

338450241834 has 64 divisors (see below), whose sum is σ = 767947564800. Its totient is φ = 110465980416.

The previous prime is 338450241823. The next prime is 338450241839. The reversal of 338450241834 is 438142054833.

338450241834 is a `hidden beast` number, since 33 + 84 + 502 + 4 + 1 + 8 + 34 = 666.

338450241834 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384502418342 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338450241834.

It is not an unprimeable number, because it can be changed into a prime (338450241839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153162 + ... + 836874.

It is an arithmetic number, because the mean of its divisors is an integer number (11999180700).

Almost surely, 2338450241834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338450241834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383973782400).

338450241834 is an abundant number, since it is smaller than the sum of its proper divisors (429497322966).

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

338450241834 is a wasteful number, since it uses less digits than its factorization.

338450241834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683916 (or 683910 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 338450241834 in words is "three hundred thirty-eight billion, four hundred fifty million, two hundred forty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 89 103 178 206 267 309 534 618 801 927 1602 1854 2403 2781 4806 5562 9167 18334 27501 55002 82503 165006 247509 495018 683713 1367426 2051139 4102278 6153417 12306834 18460251 36920502 60850457 70422439 121700914 140844878 182551371 211267317 365102742 422534634 547654113 633801951 1095308226 1267603902 1642962339 1901405853 3285924678 3802811706 6267597071 12535194142 18802791213 37605582426 56408373639 112816747278 169225120917 338450241834