Search a number
-
+
430133214 = 237374143157
BaseRepresentation
bin11001101000110…
…100111111011110
31002222101000211210
4121220310333132
51340103230324
6110403125250
713442033460
oct3150647736
91088330753
10430133214
112008874a5
12100073826
136b1620c4
14411aa130
1527b66d29
hex19a34fde

430133214 has 128 divisors (see below), whose sum is σ = 1065157632. Its totient is φ = 113218560.

The previous prime is 430133203. The next prime is 430133227. The reversal of 430133214 is 412331034.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2739624 + ... + 2739780.

It is an arithmetic number, because the mean of its divisors is an integer number (8321544).

Almost surely, 2430133214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430133214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532578816).

430133214 is an abundant number, since it is smaller than the sum of its proper divisors (635024418).

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

430133214 is a wasteful number, since it uses less digits than its factorization.

430133214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 430133214 is about 20739.6531793567. The cubic root of 430133214 is about 754.8621674328.

Adding to 430133214 its reverse (412331034), we get a palindrome (842464248).

The spelling of 430133214 in words is "four hundred thirty million, one hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 41 42 43 74 82 86 111 123 129 157 222 246 258 259 287 301 314 471 518 574 602 777 861 903 942 1099 1517 1554 1591 1722 1763 1806 2198 3034 3182 3297 3526 4551 4773 5289 5809 6437 6594 6751 9102 9546 10578 10619 11137 11618 12341 12874 13502 17427 19311 20253 21238 22274 24682 31857 33411 34854 37023 38622 40506 40663 45059 47257 63714 65231 66822 74046 81326 90118 94514 121989 130462 135177 141771 195693 238169 243978 249787 270354 276791 283542 391386 456617 476338 499574 553582 714507 749361 830373 913234 1369851 1429014 1498722 1660746 1667183 1748509 1937537 2739702 3334366 3497018 3875074 5001549 5245527 5812611 10003098 10241267 10491054 11625222 20482534 30723801 61447602 71688869 143377738 215066607 430133214