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3723049000 = 2353112291061
BaseRepresentation
bin1101110111101001…
…0011100000101000
3100121110120111002201
43131322103200220
530111100032000
61413233505544
7161155252156
oct33572234050
910543514081
103723049000
111640622900
1287aa122b4
13474433a98
142746603d6
1516bcba96a
hexdde93828

3723049000 has 192 divisors, whose sum is σ = 9915469200. Its totient is φ = 1305920000.

The previous prime is 3723048997. The next prime is 3723049007. The reversal of 3723049000 is 9403273.

3723049000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 270076356 + 3452972644 = 16434^2 + 58762^2 .

It is a super-2 number, since 2×37230490002 = 27722187712802000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3723049000.

It is not an unprimeable number, because it can be changed into a prime (3723049007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3508470 + ... + 3509530.

Almost surely, 23723049000 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 3723049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957734600).

3723049000 is an abundant number, since it is smaller than the sum of its proper divisors (6192420200).

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

3723049000 is a wasteful number, since it uses less digits than its factorization.

3723049000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3723049000 is about 61016.7927705152. The cubic root of 3723049000 is about 1549.8853886813.

The spelling of 3723049000 in words is "three billion, seven hundred twenty-three million, forty-nine thousand".