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38264340 = 22352921991
BaseRepresentation
bin1001000111110…
…1111000010100
32200000000210210
42101331320110
534243424330
63444045420
7643145562
oct221757024
980000723
1038264340
111a665624
1210993870
137c0982a
145120a32
15355c8b0
hex247de14

38264340 has 48 divisors (see below), whose sum is σ = 110839680. Its totient is φ = 9851520.

The previous prime is 38264339. The next prime is 38264351. The reversal of 38264340 is 4346283.

38264340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38264298 and 38264307.

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 15 ways as a sum of consecutive naturals, for example, 9256 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (2309160).

Almost surely, 238264340 is an apocalyptic number.

38264340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38264340 is an abundant number, since it is smaller than the sum of its proper divisors (72575340).

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

38264340 is a wasteful number, since it uses less digits than its factorization.

38264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032 (or 22030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 38264340 is about 6185.8176500767. The cubic root of 38264340 is about 336.9753054193.

The spelling of 38264340 in words is "thirty-eight million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 21991 43982 65973 87964 109955 131946 219910 263892 329865 439820 637739 659730 1275478 1319460 1913217 2550956 3188695 3826434 6377390 7652868 9566085 12754780 19132170 38264340