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3985343032 = 2311237127733
BaseRepresentation
bin1110110110001011…
…1000001000111000
3101021202010101212111
43231202320020320
531130221434112
61455243422104
7200521566616
oct35542701070
911252111774
103985343032
111765693230
12932824934
134b688c258
1429b41a6b6
15184d2c5a7
hexed8b8238

3985343032 has 64 divisors (see below), whose sum is σ = 8626383360. Its totient is φ = 1708291200.

The previous prime is 3985342969. The next prime is 3985343041. The reversal of 3985343032 is 2303435893.

It is a happy number.

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, 129838 + ... + 157570.

It is an arithmetic number, because the mean of its divisors is an integer number (134787240).

Almost surely, 23985343032 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 3985343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313191680).

3985343032 is an abundant number, since it is smaller than the sum of its proper divisors (4641040328).

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

3985343032 is a wasteful number, since it uses less digits than its factorization.

3985343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 27840 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 3985343032 is about 63129.5733551241. The cubic root of 3985343032 is about 1585.4598050994.

The spelling of 3985343032 in words is "three billion, nine hundred eighty-five million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 71 88 92 142 184 253 284 506 568 781 1012 1562 1633 2024 3124 3266 6248 6532 13064 17963 27733 35926 55466 71852 110932 143704 221864 305063 610126 637859 1220252 1275718 1969043 2440504 2551436 3938086 5102872 7016449 7876172 14032898 15752344 21659473 28065796 43318946 45287989 56131592 86637892 90575978 173275784 181151956 362303912 498167879 996335758 1992671516 3985343032