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38003634 = 2336011171
BaseRepresentation
bin1001000011111…
…0001110110010
32122111210012000
42100332032302
534212104014
63434314430
7641011524
oct220761662
978453160
1038003634
111a4a7769
1210888a16
137b47c76
145093a14
15350a509
hex243e3b2

38003634 has 32 divisors (see below), whose sum is σ = 84665280. Its totient is φ = 12636000.

The previous prime is 38003621. The next prime is 38003677. The reversal of 38003634 is 43630083.

38003634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×380036343 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38003598 and 38003607.

It is an unprimeable number.

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, 31869 + ... + 33039.

It is an arithmetic number, because the mean of its divisors is an integer number (2645790).

Almost surely, 238003634 is an apocalyptic number.

38003634 is an abundant number, since it is smaller than the sum of its proper divisors (46661646).

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

38003634 is a wasteful number, since it uses less digits than its factorization.

38003634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38003634 is about 6164.7087522445. The cubic root of 38003634 is about 336.2082573722.

The spelling of 38003634 in words is "thirty-eight million, three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 601 1171 1202 1803 2342 3513 3606 5409 7026 10539 10818 16227 21078 31617 32454 63234 703771 1407542 2111313 4222626 6333939 12667878 19001817 38003634