Search a number
-
+
4340874240 = 2103651163
BaseRepresentation
bin1000000101011110…
…00111110000000000
3102012112010021000000
410002233013300000
532342230433430
61554424000000
7212366552013
oct40257076000
912175107000
104340874240
11192834607a
12a11900000
13542430c51
142d272737a
151a6159e60
hex102bc7c00

4340874240 has 308 divisors, whose sum is σ = 15625799064. Its totient is φ = 1156571136.

The previous prime is 4340874217. The next prime is 4340874271. The reversal of 4340874240 is 424780434.

It is a happy number.

4340874240 is a `hidden beast` number, since 4 + 3 + 408 + 7 + 4 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4340874195 and 4340874204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3731899 + ... + 3733061.

Almost surely, 24340874240 is an apocalyptic number.

4340874240 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 4340874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812899532).

4340874240 is an abundant number, since it is smaller than the sum of its proper divisors (11284924824).

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

4340874240 is an equidigital number, since it uses as much as digits as its factorization.

4340874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4340874240 is about 65885.3112613123. The cubic root of 4340874240 is about 1631.2695693253.

The spelling of 4340874240 in words is "four billion, three hundred forty million, eight hundred seventy-four thousand, two hundred forty".