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424732434 = 237291073259
BaseRepresentation
bin11001010100001…
…110011100010010
31002121012122100220
4121110032130102
51332212414214
6110051253510
713345110660
oct3124163422
91077178326
10424732434
111a8828845
12ba2aa296
1369cc0a89
14405a1c30
152744b9a9
hex1950e712

424732434 has 64 divisors (see below), whose sum is σ = 1013990400. Its totient is φ = 116036928.

The previous prime is 424732417. The next prime is 424732459. The reversal of 424732434 is 434237424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 424732395 and 424732404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128697 + ... + 131955.

It is an arithmetic number, because the mean of its divisors is an integer number (15843600).

Almost surely, 2424732434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424732434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506995200).

424732434 is an abundant number, since it is smaller than the sum of its proper divisors (589257966).

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

424732434 is a wasteful number, since it uses less digits than its factorization.

424732434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407.

The product of its digits is 64512, while the sum is 33.

The square root of 424732434 is about 20609.0376776792. The cubic root of 424732434 is about 751.6894855493.

Adding to 424732434 its reverse (434237424), we get a palindrome (858969858).

The spelling of 424732434 in words is "four hundred twenty-four million, seven hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 107 174 203 214 321 406 609 642 749 1218 1498 2247 3103 3259 4494 6206 6518 9309 9777 18618 19554 21721 22813 43442 45626 65163 68439 94511 130326 136878 189022 283533 348713 567066 661577 697426 1046139 1323154 1984731 2092278 2440991 3969462 4881982 7322973 10112677 14645946 20225354 30338031 60676062 70788739 141577478 212366217 424732434