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3432437472 = 25381144087
BaseRepresentation
bin1100110010010110…
…1101011011100000
322212012201220000210
43030211231123200
524012200444342
61324333014120
7151026144222
oct31445553340
98765656023
103432437472
111501581092
127b9624340
134291723b9
14247c12412
1515151379c
hexcc96d6e0

3432437472 has 48 divisors (see below), whose sum is σ = 9021462912. Its totient is φ = 1142709120.

The previous prime is 3432437431. The next prime is 3432437531. The reversal of 3432437472 is 2747342343.

3432437472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3432437472.

It is a congruent number.

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, 55813 + ... + 99899.

It is an arithmetic number, because the mean of its divisors is an integer number (187947144).

Almost surely, 23432437472 is an apocalyptic number.

3432437472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3432437472 is an abundant number, since it is smaller than the sum of its proper divisors (5589025440).

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

3432437472 is a wasteful number, since it uses less digits than its factorization.

3432437472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44911 (or 44903 counting only the distinct ones).

The product of its digits is 338688, while the sum is 39.

The square root of 3432437472 is about 58587.0077064873. The cubic root of 3432437472 is about 1508.4614347767.

The spelling of 3432437472 in words is "three billion, four hundred thirty-two million, four hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 811 1622 2433 3244 4866 6488 9732 12976 19464 25952 38928 44087 77856 88174 132261 176348 264522 352696 529044 705392 1058088 1410784 2116176 4232352 35754557 71509114 107263671 143018228 214527342 286036456 429054684 572072912 858109368 1144145824 1716218736 3432437472