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38340126 = 23211238419
BaseRepresentation
bin1001001001000…
…0011000011110
32200010212202200
42102100120132
534303341001
63445432330
7643612536
oct222203036
980125680
1038340126
111a707560
1210a0b6a6
137c35186
1451404c6
153575086
hex249061e

38340126 has 48 divisors (see below), whose sum is σ = 94573440. Its totient is φ = 11111760.

The previous prime is 38340101. The next prime is 38340131. The reversal of 38340126 is 62104383.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38340126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345 + ... + 8763.

It is an arithmetic number, because the mean of its divisors is an integer number (1970280).

Almost surely, 238340126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38340126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47286720).

38340126 is an abundant number, since it is smaller than the sum of its proper divisors (56233314).

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

38340126 is a wasteful number, since it uses less digits than its factorization.

38340126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38340126 is about 6191.9404066900. The cubic root of 38340126 is about 337.1976287705.

The spelling of 38340126 in words is "thirty-eight million, three hundred forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 8419 16838 25257 50514 75771 92609 151542 185218 193637 277827 387274 555654 580911 833481 1161822 1666962 1742733 2130007 3485466 4260014 6390021 12780042 19170063 38340126