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432244242 = 23347732333
BaseRepresentation
bin11001110000111…
…000011000010010
31010010100021122000
4121300320120102
51341123303432
6110520254430
713466005203
oct3160703022
91103307560
10432244242
11201a99551
12100911416
136b720c31
14415995aa
1527e3257c
hex19c38612

432244242 has 64 divisors (see below), whose sum is σ = 994844160. Its totient is φ = 139024512.

The previous prime is 432244199. The next prime is 432244271. The reversal of 432244242 is 242442234.

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, 184108 + ... + 186440.

It is an arithmetic number, because the mean of its divisors is an integer number (15544440).

Almost surely, 2432244242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432244242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497422080).

432244242 is an abundant number, since it is smaller than the sum of its proper divisors (562599918).

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

432244242 is a wasteful number, since it uses less digits than its factorization.

432244242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 432244242 is about 20790.4844099410. The cubic root of 432244242 is about 756.0950686692.

Adding to 432244242 its reverse (242442234), we get a palindrome (674686476).

The spelling of 432244242 in words is "four hundred thirty-two million, two hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 73 94 141 146 219 282 423 438 657 846 1269 1314 1971 2333 2538 3431 3942 4666 6862 6999 10293 13998 20586 20997 30879 41994 61758 62991 92637 109651 125982 170309 185274 219302 328953 340618 510927 657906 986859 1021854 1532781 1973718 2960577 3065562 4598343 5921154 8004523 9196686 16009046 24013569 48027138 72040707 144081414 216122121 432244242