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241422432 = 2534183739
BaseRepresentation
bin11100110001111…
…01000001100000
3121211021112022120
432120331001200
5443301004212
635542304240
75661025326
oct1630750140
9554245276
10241422432
11114305279
1268a28080
133b02b414
14240c5d16
15162dc88c
hexe63d060

241422432 has 96 divisors (see below), whose sum is σ = 657901440. Its totient is φ = 77460480.

The previous prime is 241422413. The next prime is 241422443. The reversal of 241422432 is 234224142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326319 + ... + 327057.

It is an arithmetic number, because the mean of its divisors is an integer number (6853140).

Almost surely, 2241422432 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 241422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328950720).

241422432 is an abundant number, since it is smaller than the sum of its proper divisors (416479008).

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

241422432 is a wasteful number, since it uses less digits than its factorization.

241422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 241422432 is about 15537.7743579961. The cubic root of 241422432 is about 622.6718133507.

Adding to 241422432 its reverse (234224142), we get a palindrome (475646574).

The spelling of 241422432 in words is "two hundred forty-one million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 83 96 123 164 166 246 249 328 332 492 498 656 664 739 984 996 1312 1328 1478 1968 1992 2217 2656 2956 3403 3936 3984 4434 5912 6806 7968 8868 10209 11824 13612 17736 20418 23648 27224 30299 35472 40836 54448 60598 61337 70944 81672 90897 108896 121196 122674 163344 181794 184011 242392 245348 326688 363588 368022 484784 490696 727176 736044 969568 981392 1454352 1472088 1962784 2514817 2908704 2944176 5029634 5888352 7544451 10059268 15088902 20118536 30177804 40237072 60355608 80474144 120711216 241422432