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3412144240 = 24553804751
BaseRepresentation
bin1100101101100001…
…0011000001110000
322210210112212221121
43023120103001300
523442002103430
61322330032024
7150361514251
oct31330230160
98723485847
103412144240
1114a108051a
127b2878614
13424bb867b
1424524cb28
1514e855a7a
hexcb613070

3412144240 has 40 divisors (see below), whose sum is σ = 8082929088. Its totient is φ = 1339104000.

The previous prime is 3412144133. The next prime is 3412144247. The reversal of 3412144240 is 424412143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412144247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398136 + ... + 406615.

Almost surely, 23412144240 is an apocalyptic number.

It is an amenable number.

3412144240 is an abundant number, since it is smaller than the sum of its proper divisors (4670784848).

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

3412144240 is a wasteful number, since it uses less digits than its factorization.

3412144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804817 (or 804811 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 3412144240 is about 58413.5621238767. The cubic root of 3412144240 is about 1505.4827853296.

Adding to 3412144240 its reverse (424412143), we get a palindrome (3836556383).

The spelling of 3412144240 in words is "three billion, four hundred twelve million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 804751 1609502 3219004 4023755 6438008 8047510 12876016 16095020 32190040 42651803 64380080 85303606 170607212 213259015 341214424 426518030 682428848 853036060 1706072120 3412144240