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3432104440 = 235799711197
BaseRepresentation
bin1100110010010001…
…1100000111111000
322212012002222012021
43030210130013320
524012104320230
61324321524224
7151023256252
oct31444340770
98765088167
103432104440
111501373956
127b94a3674
1342908693b
14247b66cd2
15151499c7a
hexcc91c1f8

3432104440 has 64 divisors (see below), whose sum is σ = 7901308800. Its totient is φ = 1341370368.

The previous prime is 3432104437. The next prime is 3432104471. The reversal of 3432104440 is 444012343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300922 + ... + 312118.

It is an arithmetic number, because the mean of its divisors is an integer number (123457950).

Almost surely, 23432104440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950654400).

3432104440 is an abundant number, since it is smaller than the sum of its proper divisors (4469204360).

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

3432104440 is a wasteful number, since it uses less digits than its factorization.

3432104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3432104440 is about 58584.1654374286. The cubic root of 3432104440 is about 1508.4126470779.

Adding to 3432104440 its reverse (444012343), we get a palindrome (3876116783).

The spelling of 3432104440 in words is "three billion, four hundred thirty-two million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 97 158 194 316 388 395 485 632 776 790 970 1580 1940 3160 3880 7663 11197 15326 22394 30652 38315 44788 55985 61304 76630 89576 111970 153260 223940 306520 447880 884563 1086109 1769126 2172218 3538252 4344436 4422815 5430545 7076504 8688872 8845630 10861090 17691260 21722180 35382520 43444360 85802611 171605222 343210444 429013055 686420888 858026110 1716052220 3432104440