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4328144352 = 253272146897
BaseRepresentation
bin1000000011111101…
…00011110111100000
3102011122011111212200
410001332203313200
532331001104402
61553251053200
7212153422440
oct40176436740
912148144780
104328144352
111921140a04
12a095a1200
1353c8c497c
142d0b72120
151a4e9321c
hex101fa3de0

4328144352 has 72 divisors (see below), whose sum is σ = 14066475696. Its totient is φ = 1236612096.

The previous prime is 4328144351. The next prime is 4328144437. The reversal of 4328144352 is 2534418234.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4328144351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071433 + ... + 1075464.

It is an arithmetic number, because the mean of its divisors is an integer number (195367718).

Almost surely, 24328144352 is an apocalyptic number.

4328144352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4328144352 is an abundant number, since it is smaller than the sum of its proper divisors (9738331344).

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

4328144352 is a wasteful number, since it uses less digits than its factorization.

4328144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146920 (or 2146909 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4328144352 is about 65788.6339119456. The cubic root of 4328144352 is about 1629.6734076624.

The spelling of 4328144352 in words is "four billion, three hundred twenty-eight million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2146897 4293794 6440691 8587588 12881382 15028279 17175176 19322073 25762764 30056558 34350352 38644146 45084837 51525528 60113116 68700704 77288292 90169674 103051056 120226232 135254511 154576584 180339348 206102112 240452464 270509022 309153168 360678696 480904928 541018044 618306336 721357392 1082036088 1442714784 2164072176 4328144352