Search a number
-
+
242471340 = 223351761433
BaseRepresentation
bin11100111001111…
…01000110101100
3121220020211011000
432130331012230
5444033040330
640021000300
76002654346
oct1634750654
9556224130
10242471340
11114961341
1269253090
133b307987
14242ba296
1516448560
hexe73d1ac

242471340 has 192 divisors, whose sum is σ = 813697920. Its totient is φ = 59719680.

The previous prime is 242471329. The next prime is 242471347. The reversal of 242471340 is 43174242.

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

It is not an unprimeable number, because it can be changed into a prime (242471347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559764 + ... + 560196.

It is an arithmetic number, because the mean of its divisors is an integer number (4238010).

Almost surely, 2242471340 is an apocalyptic number.

242471340 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 242471340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

242471340 is an abundant number, since it is smaller than the sum of its proper divisors (571226580).

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

242471340 is a wasteful number, since it uses less digits than its factorization.

242471340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

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

The square root of 242471340 is about 15571.4912580652. The cubic root of 242471340 is about 623.5722845558.

The spelling of 242471340 in words is "two hundred forty-two million, four hundred seventy-one thousand, three hundred forty".