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242342632 = 23721016121
BaseRepresentation
bin11100111000111…
…01101011101000
3121220000021121001
432130131223220
5444014431012
640014124344
76001610200
oct1634355350
9556007531
10242342632
11114883674
12691b06b4
133b29120c
1424285400
1516420357
hexe71dae8

242342632 has 48 divisors (see below), whose sum is σ = 533899620. Its totient is φ = 102816000.

The previous prime is 242342621. The next prime is 242342641. The reversal of 242342632 is 236243242.

It can be written as a sum of positive squares in 2 ways, for example, as 241056676 + 1285956 = 15526^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 242342632.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36532 + ... + 42652.

Almost surely, 2242342632 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 242342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266949810).

242342632 is an abundant number, since it is smaller than the sum of its proper divisors (291556988).

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

242342632 is a wasteful number, since it uses less digits than its factorization.

242342632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6231 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 242342632 is about 15567.3579004274. The cubic root of 242342632 is about 623.4619306934.

Adding to 242342632 its reverse (236243242), we get a palindrome (478585874).

The spelling of 242342632 in words is "two hundred forty-two million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 4949 5656 6121 9898 12242 19796 24484 39592 42847 48968 85694 171388 299929 342776 599858 618221 1199716 1236442 2399432 2472884 4327547 4945768 8655094 17310188 30292829 34620376 60585658 121171316 242342632