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2420388 = 223373307
BaseRepresentation
bin1001001110111010100100
311112222011000
421032322210
51104423023
6123513300
726400345
oct11167244
94488130
102420388
111403523
12988830
136698a9
144700cc
1532c243
hex24eea4

2420388 has 48 divisors (see below), whose sum is σ = 6381760. Its totient is φ = 793152.

The previous prime is 2420377. The next prime is 2420399. The reversal of 2420388 is 8830242.

2420388 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2420377) and next prime (2420399).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7731 + ... + 8037.

22420388 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 2420388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190880).

2420388 is an abundant number, since it is smaller than the sum of its proper divisors (3961372).

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

2420388 is a wasteful number, since it uses less digits than its factorization.

2420388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2420388 is about 1555.7596215354. The cubic root of 2420388 is about 134.2646437009.

The spelling of 2420388 in words is "two million, four hundred twenty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 307 438 614 657 876 921 1228 1314 1842 1971 2628 2763 3684 3942 5526 7884 8289 11052 16578 22411 33156 44822 67233 89644 134466 201699 268932 403398 605097 806796 1210194 2420388