Search a number
-
+
434122152 = 23343537937
BaseRepresentation
bin11001111000000…
…010110110101000
31010020212200122020
4121320002312220
51342113402102
6111024424440
713520656152
oct3170026650
91106780566
10434122152
11203061442
12101478120
136bc2a919
1441927ad2
15281a3bbc
hex19e02da8

434122152 has 64 divisors (see below), whose sum is σ = 1131641280. Its totient is φ = 138657792.

The previous prime is 434122111. The next prime is 434122207. The reversal of 434122152 is 251221434.

It is a super-2 number, since 2×4341221522 = 376924085714222208, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 50728 + ... + 58664.

It is an arithmetic number, because the mean of its divisors is an integer number (17681895).

Almost surely, 2434122152 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 434122152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565820640).

434122152 is an abundant number, since it is smaller than the sum of its proper divisors (697519128).

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

434122152 is a wasteful number, since it uses less digits than its factorization.

434122152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8038 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 434122152 is about 20835.5981915567. The cubic root of 434122152 is about 757.1884529594.

Adding to 434122152 its reverse (251221434), we get a palindrome (685343586).

The spelling of 434122152 in words is "four hundred thirty-four million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 7937 9116 13674 15874 18232 23811 27348 31748 47622 54696 63496 95244 190488 341291 420661 682582 841322 1023873 1261983 1365164 1682644 2047746 2523966 2730328 3365288 4095492 5047932 8190984 10095864 18088423 36176846 54265269 72353692 108530538 144707384 217061076 434122152