Search a number
-
+
4331681280 = 29335292161
BaseRepresentation
bin1000000100011000…
…00011011000000000
3102011212211012122000
410002030003120000
532332402300110
61553454544000
7212225453253
oct40214033000
912155735560
104331681280
111923137293
12a0a808000
13540562824
142d141309a
151a54411c0
hex102303600

4331681280 has 320 divisors, whose sum is σ = 15924427200. Its totient is φ = 1114767360.

The previous prime is 4331681267. The next prime is 4331681303. The reversal of 4331681280 is 821861334.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003400 + ... + 2005560.

It is an arithmetic number, because the mean of its divisors is an integer number (49763835).

Almost surely, 24331681280 is an apocalyptic number.

4331681280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962213600).

4331681280 is an abundant number, since it is smaller than the sum of its proper divisors (11592745920).

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

4331681280 is a wasteful number, since it uses less digits than its factorization.

4331681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4331681280 is about 65815.5094183734. The cubic root of 4331681280 is about 1630.1172058694.

The spelling of 4331681280 in words is "four billion, three hundred thirty-one million, six hundred eighty-one thousand, two hundred eighty".