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1430004024 = 233323535431
BaseRepresentation
bin101010100111100…
…0010000100111000
310200122210201202000
41111033002010320
510412040112044
6353521541000
750302555641
oct12517020470
93618721660
101430004024
11674222209
1233aaa4760
1319a355537
14d7cc26c8
158581ed69
hex553c2138

1430004024 has 128 divisors (see below), whose sum is σ = 4223923200. Its totient is φ = 447258240.

The previous prime is 1430004019. The next prime is 1430004031. The reversal of 1430004024 is 4204000341.

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

It is a junction number, because it is equal to n+sod(n) for n = 1430003988 and 1430004006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260589 + ... + 266019.

It is an arithmetic number, because the mean of its divisors is an integer number (32999400).

Almost surely, 21430004024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111961600).

1430004024 is an abundant number, since it is smaller than the sum of its proper divisors (2793919176).

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

1430004024 is a wasteful number, since it uses less digits than its factorization.

1430004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1430004024 is about 37815.3940082607. The cubic root of 1430004024 is about 1126.6242281009.

Adding to 1430004024 its reverse (4204000341), we get a palindrome (5634004365).

The spelling of 1430004024 in words is "one billion, four hundred thirty million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 53 54 69 72 92 106 108 138 159 184 207 212 216 276 318 414 424 477 552 621 636 828 954 1219 1242 1272 1431 1656 1908 2438 2484 2862 3657 3816 4876 4968 5431 5724 7314 9752 10862 10971 11448 14628 16293 21724 21942 29256 32586 32913 43448 43884 48879 65172 65826 87768 97758 124913 130344 131652 146637 195516 249826 263304 287843 293274 374739 391032 499652 575686 586548 749478 863529 999304 1124217 1151372 1173096 1498956 1727058 2248434 2302744 2590587 2997912 3372651 3454116 4496868 5181174 6620389 6745302 6908232 7771761 8993736 10362348 13240778 13490604 15543522 19861167 20724696 26481556 26981208 31087044 39722334 52963112 59583501 62174088 79444668 119167002 158889336 178750503 238334004 357501006 476668008 715002012 1430004024