Search a number
-
+
2374368480 = 2532511213627
BaseRepresentation
bin1000110110000101…
…1111110011100000
320010110210102020100
42031201133303200
514330314242410
61031334542400
7112560541041
oct21541376340
96113712210
102374368480
1110092a6200
12563207a00
132babb3183
141874aa8c8
15dd6b18c0
hex8d85fce0

2374368480 has 216 divisors, whose sum is σ = 8906742936. Its totient is φ = 575562240.

The previous prime is 2374368449. The next prime is 2374368511. The reversal of 2374368480 is 848634732.

2374368480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2374368449) and next prime (2374368511).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167427 + ... + 181053.

It is an arithmetic number, because the mean of its divisors is an integer number (41234921).

Almost surely, 22374368480 is an apocalyptic number.

2374368480 is a gapful number since it is divisible by the number (20) 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 2374368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453371468).

2374368480 is an abundant number, since it is smaller than the sum of its proper divisors (6532374456).

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

2374368480 is a wasteful number, since it uses less digits than its factorization.

2374368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13670 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2374368480 is about 48727.4920347846. The cubic root of 2374368480 is about 1334.0825578070.

It can be divided in two parts, 237 and 4368480, that multiplied together give a triangular number (1035329760 = T45504).

The spelling of 2374368480 in words is "two billion, three hundred seventy-four million, three hundred sixty-eight thousand, four hundred eighty".