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338036540 = 2251071371153
BaseRepresentation
bin10100001001100…
…000011100111100
3212120002000221212
4110021200130330
51143014132130
653313143552
711243156162
oct2411403474
9776060855
10338036540
111638a3946
129525abb8
1355057a2a
1432c75232
151ea23e95
hex1426073c

338036540 has 48 divisors (see below), whose sum is σ = 722367072. Its totient is φ = 132857856.

The previous prime is 338036533. The next prime is 338036579. The reversal of 338036540 is 45630833.

It is a super-2 number, since 2×3380365402 = 228537404750343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338036497 and 338036506.

It is a congruent number.

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, 292604 + ... + 293756.

It is an arithmetic number, because the mean of its divisors is an integer number (15049314).

Almost surely, 2338036540 is an apocalyptic number.

It is an amenable number.

338036540 is an abundant number, since it is smaller than the sum of its proper divisors (384330532).

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

338036540 is a wasteful number, since it uses less digits than its factorization.

338036540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 338036540 is about 18385.7700409855. The cubic root of 338036540 is about 696.6070775656.

The spelling of 338036540 in words is "three hundred thirty-eight million, thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 107 137 214 274 428 535 548 685 1070 1153 1370 2140 2306 2740 4612 5765 11530 14659 23060 29318 58636 73295 123371 146590 157961 246742 293180 315922 493484 616855 631844 789805 1233710 1579610 2467420 3159220 16901827 33803654 67607308 84509135 169018270 338036540