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2429840 = 24574339
BaseRepresentation
bin1001010001001110010000
311120110010002
421101032100
51110223330
6124025132
726440040
oct11211620
94513102
102429840
11140a636
129921a8
13670c9a
14473720
1532ee45
hex251390

2429840 has 40 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 832896.

The previous prime is 2429831. The next prime is 2429851. The reversal of 2429840 is 489242.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1610 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

22429840 is an apocalyptic number.

2429840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429840 is an abundant number, since it is smaller than the sum of its proper divisors (4028080).

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

2429840 is a wasteful number, since it uses less digits than its factorization.

2429840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2429840 is about 1558.7944059433. The cubic root of 2429840 is about 134.4391916128.

The spelling of 2429840 in words is "two million, four hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4339 8678 17356 21695 30373 34712 43390 60746 69424 86780 121492 151865 173560 242984 303730 347120 485968 607460 1214920 2429840