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2338140 = 2235719293
BaseRepresentation
bin1000111010110101011100
311101210022210
420322311130
51044310030
6122040420
725605510
oct10726534
94353283
102338140
111357752
12949110
1363b31c
1444c140
15312bb0
hex23ad5c

2338140 has 96 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 504576.

The previous prime is 2338123. The next prime is 2338151. The reversal of 2338140 is 418332.

It is a happy number.

2338140 is digitally balanced in base 8, 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 (21).

2338140 is strictly pandigital in base 8.

It is a congruent number.

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, 7834 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

22338140 is an apocalyptic number.

2338140 is a gapful number since it is divisible by the number (20) 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 2338140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2338140 is an abundant number, since it is smaller than the sum of its proper divisors (5564580).

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

2338140 is a wasteful number, since it uses less digits than its factorization.

2338140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2338140 is about 1529.0977731983. The cubic root of 2338140 is about 132.7262539940.

The spelling of 2338140 in words is "two million, three hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 293 380 399 420 532 570 586 665 798 879 1140 1172 1330 1465 1596 1758 1995 2051 2660 2930 3516 3990 4102 4395 5567 5860 6153 7980 8204 8790 10255 11134 12306 16701 17580 20510 22268 24612 27835 30765 33402 38969 41020 55670 61530 66804 77938 83505 111340 116907 123060 155876 167010 194845 233814 334020 389690 467628 584535 779380 1169070 2338140