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430121604 = 22311243832
BaseRepresentation
bin11001101000110…
…010001010000100
31002222100102220210
4121220302022010
51340102342404
6110402555420
713441654563
oct3150621204
91088312823
10430121604
11200879800
12100068b70
136b159a33
14411a5bda
1527b63689
hex19a32284

430121604 has 108 divisors (see below), whose sum is σ = 1142567888. Its totient is φ = 125774880.

The previous prime is 430121599. The next prime is 430121651. The reversal of 430121604 is 406121034.

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 35 ways as a sum of consecutive naturals, for example, 5182147 + ... + 5182229.

Almost surely, 2430121604 is an apocalyptic number.

430121604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430121604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571283944).

430121604 is an abundant number, since it is smaller than the sum of its proper divisors (712446284).

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

430121604 is a wasteful number, since it uses less digits than its factorization.

430121604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 430121604 is about 20739.3732788626. The cubic root of 430121604 is about 754.8553757162.

Adding to 430121604 its reverse (406121034), we get a palindrome (836242638).

The spelling of 430121604 in words is "four hundred thirty million, one hundred twenty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 83 86 121 129 132 166 172 242 249 258 332 363 473 484 498 516 726 913 946 996 1419 1452 1826 1892 2739 2838 3569 3652 5203 5478 5676 6889 7138 10043 10406 10707 10956 13778 14276 15609 20086 20667 20812 21414 27556 30129 31218 39259 40172 41334 42828 60258 62436 75779 78518 82668 117777 120516 151558 157036 227337 235554 296227 303116 431849 454674 471108 592454 833569 863698 888681 909348 1184908 1295547 1667138 1727396 1777362 2500707 2591094 3258497 3334276 3554724 5001414 5182188 6516994 9775491 10002828 13033988 19550982 35843467 39101964 71686934 107530401 143373868 215060802 430121604