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431242434 = 23372179587
BaseRepresentation
bin11001101101000…
…011110011000010
31010001110101102000
4121231003303002
51340344224214
6110443004430
713454333400
oct3155036302
91101411360
10431242434
11201474907
12100509716
136b45cc4c
14413b8470
1527cd5809
hex19b43cc2

431242434 has 96 divisors (see below), whose sum is σ = 1180474560. Its totient is φ = 115952256.

The previous prime is 431242429. The next prime is 431242439. The reversal of 431242434 is 434242134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431242429) and next prime (431242439).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431242398 and 431242407.

It is not an unprimeable number, because it can be changed into a prime (431242439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40189 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (12296610).

Almost surely, 2431242434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431242434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590237280).

431242434 is an abundant number, since it is smaller than the sum of its proper divisors (749232126).

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

431242434 is a wasteful number, since it uses less digits than its factorization.

431242434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9629 (or 9616 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 431242434 is about 20766.3774886233. The cubic root of 431242434 is about 755.5104855741.

Adding to 431242434 its reverse (434242134), we get a palindrome (865484568).

The spelling of 431242434 in words is "four hundred thirty-one million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 3213 4998 6426 7497 9587 14994 19174 22491 28761 44982 57522 67109 86283 134218 162979 172566 201327 258849 325958 402654 469763 488937 517698 603981 939526 977874 1140853 1207962 1409289 1466811 1811943 2281706 2818578 2933622 3422559 3623886 4227867 4400433 6845118 7985971 8455734 8800866 10267677 12683601 15971942 20535354 23957913 25367202 30803031 47915826 61606062 71873739 143747478 215621217 431242434