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38442330 = 2335173823
BaseRepresentation
bin1001001010100…
…1010101011010
32200100001222000
42102221111122
534320123310
63451541430
7644516523
oct222512532
980301860
1038442330
111a777323
1210a5a876
137c6c854
14516984a
1535954c0
hex24a955a

38442330 has 64 divisors (see below), whose sum is σ = 103230720. Its totient is φ = 10179648.

The previous prime is 38442323. The next prime is 38442353. The reversal of 38442330 is 3324483.

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 = 38442294 and 38442303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46299 + ... + 47121.

It is an arithmetic number, because the mean of its divisors is an integer number (1612980).

Almost surely, 238442330 is an apocalyptic number.

38442330 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 38442330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51615360).

38442330 is an abundant number, since it is smaller than the sum of its proper divisors (64788390).

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

38442330 is a wasteful number, since it uses less digits than its factorization.

38442330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 38442330 is about 6200.1879003785. The cubic root of 38442330 is about 337.4969876274.

The spelling of 38442330 in words is "thirty-eight million, four hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 270 346 519 823 865 1038 1557 1646 1730 2469 2595 3114 4115 4671 4938 5190 7407 7785 8230 9342 12345 14814 15570 22221 23355 24690 37035 44442 46710 74070 111105 142379 222210 284758 427137 711895 854274 1281411 1423790 2135685 2562822 3844233 4271370 6407055 7688466 12814110 19221165 38442330