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38010440 = 23513671091
BaseRepresentation
bin1001000011111…
…1111001001000
32122112010112002
42100333321020
534212313230
63434410132
7641040416
oct220777110
978463462
1038010440
111a501896
1210890948
137b4b0b0
1450962b6
15350c545
hex243fe48

38010440 has 64 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 13812480.

The previous prime is 38010439. The next prime is 38010457. The reversal of 38010440 is 4401083.

38010440 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 (20).

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, 34295 + ... + 35385.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 238010440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

38010440 is an abundant number, since it is smaller than the sum of its proper divisors (55552120).

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

38010440 is a wasteful number, since it uses less digits than its factorization.

38010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 38010440 is about 6165.2607406338. The cubic root of 38010440 is about 336.2283264776.

The spelling of 38010440 in words is "thirty-eight million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1091 1340 1742 2182 2680 3484 4355 4364 5455 6968 8710 8728 10910 14183 17420 21820 28366 34840 43640 56732 70915 73097 113464 141830 146194 283660 292388 365485 567320 584776 730970 950261 1461940 1900522 2923880 3801044 4751305 7602088 9502610 19005220 38010440