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451213434 = 232719118749
BaseRepresentation
bin11010111001001…
…111100001111010
31011110001000110200
4122321033201322
51411002312214
6112435023030
714116152030
oct3271174172
91143030420
10451213434
11211775371
1210713aa76
13726330c9
1443cd6550
152992cd09
hex1ae4f87a

451213434 has 48 divisors (see below), whose sum is σ = 1123200000. Its totient is φ = 128236320.

The previous prime is 451213429. The next prime is 451213493. The reversal of 451213434 is 434312154.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 451213398 and 451213407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14692 + ... + 33440.

It is an arithmetic number, because the mean of its divisors is an integer number (23400000).

Almost surely, 2451213434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451213434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600000).

451213434 is an abundant number, since it is smaller than the sum of its proper divisors (671986566).

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

451213434 is a wasteful number, since it uses less digits than its factorization.

451213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18952 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 451213434 is about 21241.7850944783. The cubic root of 451213434 is about 766.9976037780.

Adding to 451213434 its reverse (434312154), we get a palindrome (885525588).

The spelling of 451213434 in words is "four hundred fifty-one million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 8022 12033 18749 24066 37498 56247 112494 131243 168741 262486 337482 393729 787458 1181187 2362374 3581059 7162118 10743177 21486354 25067413 32229531 50134826 64459062 75202239 150404478 225606717 451213434