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3993460830 = 232597145697
BaseRepresentation
bin1110111000000111…
…0110000001011110
3101022022101211101200
43232001312001132
531134311221310
61500133420330
7200650566642
oct35601660136
911268354350
103993460830
11176a228257
1293549a6a6
134b8472198
1429c530c22
151858d29c0
hexee07605e

3993460830 has 48 divisors (see below), whose sum is σ = 10393918704. Its totient is φ = 1063802880.

The previous prime is 3993460829. The next prime is 3993460847. The reversal of 3993460830 is 380643993.

3993460830 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 4 + 608 + 30 = 666.

3993460830 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 Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64542 + ... + 110238.

It is an arithmetic number, because the mean of its divisors is an integer number (216539973).

Almost surely, 23993460830 is an apocalyptic number.

3993460830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3993460830 is an abundant number, since it is smaller than the sum of its proper divisors (6400457874).

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

3993460830 is a wasteful number, since it uses less digits than its factorization.

3993460830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46681 (or 46678 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3993460830 is about 63193.8353797267. The cubic root of 3993460830 is about 1586.5355563834.

The spelling of 3993460830 in words is "three billion, nine hundred ninety-three million, four hundred sixty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 971 1942 2913 4855 5826 8739 9710 14565 17478 29130 43695 45697 87390 91394 137091 228485 274182 411273 456970 685455 822546 1370910 2056365 4112730 44371787 88743574 133115361 221858935 266230722 399346083 443717870 665576805 798692166 1331153610 1996730415 3993460830