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3923323420 = 2253118134961
BaseRepresentation
bin1110100111011001…
…0010101000011100
3101010102102110221211
43221312102220130
531013332322140
61445150234204
7166136461462
oct35166225034
911112373854
103923323420
111733682a55
12915ab5964
134a6a85c63
142930b4832
1517e67b2ea
hexe9d92a1c

3923323420 has 48 divisors (see below), whose sum is σ = 8551984896. Its totient is φ = 1510272000.

The previous prime is 3923323409. The next prime is 3923323421. The reversal of 3923323420 is 243233293.

3923323420 is digitally balanced in base 2, because in such base 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 (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923323421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94740 + ... + 129700.

It is an arithmetic number, because the mean of its divisors is an integer number (178166352).

Almost surely, 23923323420 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 3923323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275992448).

3923323420 is an abundant number, since it is smaller than the sum of its proper divisors (4628661476).

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

3923323420 is a wasteful number, since it uses less digits than its factorization.

3923323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35182 (or 35180 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

The square root of 3923323420 is about 62636.4384364245. The cubic root of 3923323420 is about 1577.1925013644.

The spelling of 3923323420 in words is "three billion, nine hundred twenty-three million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 181 310 362 620 724 905 1810 3620 5611 11222 22444 28055 34961 56110 69922 112220 139844 174805 349610 699220 1083791 2167582 4335164 5418955 6327941 10837910 12655882 21675820 25311764 31639705 63279410 126558820 196166171 392332342 784664684 980830855 1961661710 3923323420