Search a number
-
+
342174240 = 25335103769
BaseRepresentation
bin10100011001010…
…010101000100000
3212211212020211000
4110121102220200
51200044033430
653541552000
711323301352
oct2431225040
9784766730
10342174240
1116616a631
1296715600
1355b76185
14336310d2
152008ee60
hex14652a20

342174240 has 192 divisors, whose sum is σ = 1210809600. Its totient is φ = 90243072.

The previous prime is 342174199. The next prime is 342174251. The reversal of 342174240 is 42471243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444576 + ... + 445344.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2342174240 is an apocalyptic number.

342174240 is a gapful number since it is divisible by the number (30) 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 342174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

342174240 is an abundant number, since it is smaller than the sum of its proper divisors (868635360).

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

342174240 is a wasteful number, since it uses less digits than its factorization.

342174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 342174240 is about 18497.9523191082. The cubic root of 342174240 is about 699.4378071088.

The spelling of 342174240 in words is "three hundred forty-two million, one hundred seventy-four thousand, two hundred forty".