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38360340 = 22325534021
BaseRepresentation
bin1001001001010…
…1010100010100
32200011220111100
42102111110110
534310012330
63450110100
7644025504
oct222252424
980156440
1038360340
111a720767
1210a1b330
137c41435
145147a04
15357b060
hex2495514

38360340 has 72 divisors (see below), whose sum is σ = 118584648. Its totient is φ = 10033920.

The previous prime is 38360339. The next prime is 38360369. The reversal of 38360340 is 4306383.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 37307664 = 1026^2 + 6108^2 .

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, 7530 + ... + 11550.

It is an arithmetic number, because the mean of its divisors is an integer number (1647009).

Almost surely, 238360340 is an apocalyptic number.

38360340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59292324).

38360340 is an abundant number, since it is smaller than the sum of its proper divisors (80224308).

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

38360340 is a wasteful number, since it uses less digits than its factorization.

38360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4084 counting only the distinct ones).

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

The square root of 38360340 is about 6193.5724747515. The cubic root of 38360340 is about 337.2568784049.

The spelling of 38360340 in words is "thirty-eight million, three hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4021 4770 8042 9540 12063 16084 20105 24126 36189 40210 48252 60315 72378 80420 120630 144756 180945 213113 241260 361890 426226 639339 723780 852452 1065565 1278678 1918017 2131130 2557356 3196695 3836034 4262260 6393390 7672068 9590085 12786780 19180170 38360340