Search a number
-
+
430121034 = 23274996841
BaseRepresentation
bin11001101000110…
…010000001001010
31002222100102010200
4121220302001022
51340102333114
6110402553030
713441653120
oct3150620112
91088312120
10430121034
11200879332
12100068776
136b1596b5
14411a5910
1527b63409
hex19a3204a

430121034 has 48 divisors (see below), whose sum is σ = 1067352000. Its totient is φ = 122627520.

The previous prime is 430120997. The next prime is 430121051.

430121034 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 430120998 and 430121016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59454 + ... + 66294.

It is an arithmetic number, because the mean of its divisors is an integer number (22236500).

Almost surely, 2430121034 is an apocalyptic number.

430121034 is an abundant number, since it is smaller than the sum of its proper divisors (637230966).

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

430121034 is a wasteful number, since it uses less digits than its factorization.

430121034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430121034 is about 20739.3595368806. The cubic root of 430121034 is about 754.8550422696.

The spelling of 430121034 in words is "four hundred thirty million, one hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 499 998 1497 2994 3493 4491 6841 6986 8982 10479 13682 20523 20958 31437 41046 47887 61569 62874 95774 123138 143661 287322 430983 861966 3413659 6827318 10240977 20481954 23895613 30722931 47791226 61445862 71686839 143373678 215060517 430121034