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38356830 = 2325676361
BaseRepresentation
bin1001001001010…
…0011101011110
32200011201200100
42102110131132
534304404310
63450041530
7644012331
oct222243536
980151610
1038356830
111a719066
1210a192a6
137c3c965
145146618
153579ec0
hex249475e

38356830 has 48 divisors (see below), whose sum is σ = 101232144. Its totient is φ = 10074240.

The previous prime is 38356823. The next prime is 38356867. The reversal of 38356830 is 3865383.

38356830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2850 + ... + 9210.

It is an arithmetic number, because the mean of its divisors is an integer number (2109003).

Almost surely, 238356830 is an apocalyptic number.

38356830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38356830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50616072).

38356830 is an abundant number, since it is smaller than the sum of its proper divisors (62875314).

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

38356830 is a wasteful number, since it uses less digits than its factorization.

38356830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38356830 is about 6193.2891099964. The cubic root of 38356830 is about 337.2465916716.

The spelling of 38356830 in words is "thirty-eight million, three hundred fifty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 6361 12722 19083 31805 38166 57249 63610 95415 114498 190830 286245 426187 572490 852374 1278561 2130935 2557122 3835683 4261870 6392805 7671366 12785610 19178415 38356830