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3241431440 = 245133116761
BaseRepresentation
bin1100000100110100…
…0101000110010000
322100220022210000022
43001031011012100
523114301301230
61253351043012
7143216466302
oct30115050620
98326283008
103241431440
111413781465
12765670468
133c8716a90
1422a6d1972
1513e8841e5
hexc1345190

3241431440 has 40 divisors (see below), whose sum is σ = 8116048248. Its totient is φ = 1196835840.

The previous prime is 3241431433. The next prime is 3241431451. The reversal of 3241431440 is 441341423.

It can be written as a sum of positive squares in 4 ways, for example, as 4276624 + 3237154816 = 2068^2 + 56896^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 1557341 + ... + 1559420.

Almost surely, 23241431440 is an apocalyptic number.

It is an amenable number.

3241431440 is an abundant number, since it is smaller than the sum of its proper divisors (4874616808).

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

3241431440 is a wasteful number, since it uses less digits than its factorization.

3241431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116787 (or 3116781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3241431440 is about 56933.5704132456. The cubic root of 3241431440 is about 1479.9451282310.

Adding to 3241431440 its reverse (441341423), we get a palindrome (3682772863).

The spelling of 3241431440 in words is "three billion, two hundred forty-one million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3116761 6233522 12467044 15583805 24934088 31167610 40517893 49868176 62335220 81035786 124670440 162071572 202589465 249340880 324143144 405178930 648286288 810357860 1620715720 3241431440