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1434021432 = 2333759101271
BaseRepresentation
bin101010101111001…
…0110111000111000
310200221100211120220
41111132112320320
510414102141212
6354144020040
750351660334
oct12536267070
93627324526
101434021432
11676516588
12340301620
1319b130cbc
14d864a7c4
1585d6538c
hex55796e38

1434021432 has 128 divisors (see below), whose sum is σ = 3795379200. Its totient is φ = 451008000.

The previous prime is 1434021431. The next prime is 1434021443. The reversal of 1434021432 is 2341204341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434021431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5291457 + ... + 5291727.

It is an arithmetic number, because the mean of its divisors is an integer number (29651400).

Almost surely, 21434021432 is an apocalyptic number.

1434021432 is a gapful number since it is divisible by the number (12) 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 1434021432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897689600).

1434021432 is an abundant number, since it is smaller than the sum of its proper divisors (2361357768).

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

1434021432 is a wasteful number, since it uses less digits than its factorization.

1434021432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1434021432 is about 37868.4754380210. The cubic root of 1434021432 is about 1127.6782757845.

Adding to 1434021432 its reverse (2341204341), we get a palindrome (3775225773).

The spelling of 1434021432 in words is "one billion, four hundred thirty-four million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 59 74 101 111 118 148 177 202 222 236 271 296 303 354 404 444 472 542 606 708 808 813 888 1084 1212 1416 1626 2168 2183 2424 3252 3737 4366 5959 6504 6549 7474 8732 10027 11211 11918 13098 14948 15989 17464 17877 20054 22422 23836 26196 27371 29896 30081 31978 35754 40108 44844 47672 47967 52392 54742 60162 63956 71508 80216 82113 89688 95934 109484 120324 127912 143016 164226 191868 218968 220483 240648 328452 383736 440966 591593 656904 661449 881932 1012727 1183186 1322898 1614889 1763864 1774779 2025454 2366372 2645796 3038181 3229778 3549558 4050908 4732744 4844667 5291592 6076362 6459556 7099116 8101816 9689334 12152724 12919112 14198232 19378668 24305448 38757336 59750893 119501786 179252679 239003572 358505358 478007144 717010716 1434021432