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430121214 = 232297431109
BaseRepresentation
bin11001101000110…
…010000011111110
31002222100102101100
4121220302003332
51340102334324
6110402553530
713441653465
oct3150620376
91088312340
10430121214
11200879486
121000688a6
136b1597c3
14411a59dc
1527b634c9
hex19a320fe

430121214 has 48 divisors (see below), whose sum is σ = 966232800. Its totient is φ = 138118848.

The previous prime is 430121213. The next prime is 430121257. The reversal of 430121214 is 412121034.

430121214 is a `hidden beast` number, since 430 + 1 + 21 + 214 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (430121213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387292 + ... + 388400.

It is an arithmetic number, because the mean of its divisors is an integer number (20129850).

Almost surely, 2430121214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430121214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483116400).

430121214 is an abundant number, since it is smaller than the sum of its proper divisors (536111586).

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

430121214 is a wasteful number, since it uses less digits than its factorization.

430121214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 430121214 is about 20739.3638764548. The cubic root of 430121214 is about 754.8551475686.

Adding to 430121214 its reverse (412121034), we get a palindrome (842242248).

The spelling of 430121214 in words is "four hundred thirty million, one hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 743 1109 1486 2218 2229 3327 4458 6654 6687 9981 13374 19962 21547 32161 43094 64322 64641 96483 129282 192966 193923 289449 387846 578898 823987 1647974 2471961 4943922 7415883 14831766 23895623 47791246 71686869 143373738 215060607 430121214