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434024244 = 22351812467
BaseRepresentation
bin11001110111101…
…010111100110100
31010020200201100000
4121313222330310
51342102233434
6111022351300
713520100543
oct3167527464
91106621300
10434024244
11202aa4925
1210142b530
136bbc51a4
144190015a
1528184b99
hex19deaf34

434024244 has 72 divisors (see below), whose sum is σ = 1144500448. Its totient is φ = 143817120.

The previous prime is 434024243. The next prime is 434024249. The reversal of 434024244 is 442420434.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434024243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174699 + ... + 177165.

Almost surely, 2434024244 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 434024244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572250224).

434024244 is an abundant number, since it is smaller than the sum of its proper divisors (710476204).

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

434024244 is a wasteful number, since it uses less digits than its factorization.

434024244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2653 counting only the distinct ones).

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

The square root of 434024244 is about 20833.2485224940. The cubic root of 434024244 is about 757.1315255250.

Adding to 434024244 its reverse (442420434), we get a palindrome (876444678).

The spelling of 434024244 in words is "four hundred thirty-four million, twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 972 1086 1629 2172 2467 3258 4887 4934 6516 7401 9774 9868 14661 14802 19548 22203 29322 29604 43983 44406 58644 66609 87966 88812 133218 175932 199827 266436 399654 446527 599481 799308 893054 1198962 1339581 1786108 2397924 2679162 4018743 5358324 8037486 12056229 16074972 24112458 36168687 48224916 72337374 108506061 144674748 217012122 434024244