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2428704 = 2534937
BaseRepresentation
bin1001010000111100100000
311120101120000
421100330200
51110204304
6124020000
726433525
oct11207440
94511500
102428704
1114097a3
12991600
13670605
1447314c
1532e939
hex250f20

2428704 has 60 divisors (see below), whose sum is σ = 7150374. Its totient is φ = 808704.

The previous prime is 2428703. The next prime is 2428711. The reversal of 2428704 is 4078242.

It can be written as a sum of positive squares in only one way, i.e., 2396304 + 32400 = 1548^2 + 180^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2428703) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2124 + ... + 3060.

22428704 is an apocalyptic number.

2428704 is a gapful number since it is divisible by the number (24) 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 2428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575187).

2428704 is an abundant number, since it is smaller than the sum of its proper divisors (4721670).

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

2428704 is an equidigital number, since it uses as much as digits as its factorization.

2428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2428704 is about 1558.4299791778. The cubic root of 2428704 is about 134.4182373211.

The spelling of 2428704 in words is "two million, four hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 937 1296 1874 2592 2811 3748 5622 7496 8433 11244 14992 16866 22488 25299 29984 33732 44976 50598 67464 75897 89952 101196 134928 151794 202392 269856 303588 404784 607176 809568 1214352 2428704