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2401128 = 233233349
BaseRepresentation
bin1001001010001101101000
311111222201200
421022031220
51103314003
6123244200
726260242
oct11121550
94458650
102401128
1113a0004
12979660
13660bb2
14467092
153266a3
hex24a368

2401128 has 24 divisors (see below), whose sum is σ = 6503250. Its totient is φ = 800352.

The previous prime is 2401127. The next prime is 2401159. The reversal of 2401128 is 8211042.

It can be written as a sum of positive squares in only one way, i.e., 1397124 + 1004004 = 1182^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2401128.

It is not an unprimeable number, because it can be changed into a prime (2401127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16603 + ... + 16746.

22401128 is an apocalyptic number.

It is an amenable number.

2401128 is an abundant number, since it is smaller than the sum of its proper divisors (4102122).

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

2401128 is a wasteful number, since it uses less digits than its factorization.

2401128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33361 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2401128 is about 1549.5573561505. The cubic root of 2401128 is about 133.9075622969.

The spelling of 2401128 in words is "two million, four hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 33349 66698 100047 133396 200094 266792 300141 400188 600282 800376 1200564 2401128