Search a number
-
+
430024031232 = 2103898591831
BaseRepresentation
bin1100100000111110110…
…11011111110000000000
31112002222010002012000120
412100133123133300000
524021142122444412
6525314511220240
743032252645525
oct6203733376000
91462863065016
10430024031232
1115641039a454
126b412217680
13317219986b3
1416b558a514c
15b2bc6bcb8c
hex641f6dfc00

430024031232 has 176 divisors, whose sum is σ = 1161032198400. Its totient is φ = 141488455680.

The previous prime is 430024031219. The next prime is 430024031243. The reversal of 430024031232 is 232130420034.

It is a super-2 number, since 2×4300240312322 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234856557 + ... + 234858387.

Almost surely, 2430024031232 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 430024031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580516099200).

430024031232 is an abundant number, since it is smaller than the sum of its proper divisors (731008167168).

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

430024031232 is a wasteful number, since it uses less digits than its factorization.

430024031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 430024031232 its reverse (232130420034), we get a palindrome (662154451266).

The spelling of 430024031232 in words is "four hundred thirty billion, twenty-four million, thirty-one thousand, two hundred thirty-two".