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2030434452 = 223453317373
BaseRepresentation
bin111100100000101…
…1111100010010100
312020111121202110000
41321001133202110
513124242400302
6533251131300
7101213256654
oct17101374224
95214552400
102030434452
11952144502
12487ba3b30
13264872007
1415393c364
15bd3c531c
hex7905f894

2030434452 has 120 divisors (see below), whose sum is σ = 5439711816. Its totient is φ = 660172032.

The previous prime is 2030434409. The next prime is 2030434481. The reversal of 2030434452 is 2544340302.

2030434452 is a `hidden beast` number, since 203 + 0 + 4 + 3 + 4 + 452 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129823236 + 1900611216 = 11394^2 + 43596^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5443338 + ... + 5443710.

Almost surely, 22030434452 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 2030434452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719855908).

2030434452 is an abundant number, since it is smaller than the sum of its proper divisors (3409277364).

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

2030434452 is a wasteful number, since it uses less digits than its factorization.

2030434452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2030434452 is about 45060.3423422415. The cubic root of 2030434452 is about 1266.2797387272.

Adding to 2030434452 its reverse (2544340302), we get a palindrome (4574774754).

It can be divided in two parts, 20304 and 34452, that added together give a square (54756 = 2342).

The spelling of 2030434452 in words is "two billion, thirty million, four hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 317 318 324 373 477 634 636 746 951 954 1119 1268 1431 1492 1902 1908 2238 2853 2862 3357 3804 4293 4476 5706 5724 6714 8559 8586 10071 11412 13428 16801 17118 17172 19769 20142 25677 30213 33602 34236 39538 40284 50403 51354 59307 60426 67204 79076 100806 102708 118241 118614 120852 151209 177921 201612 236482 237228 302418 354723 355842 453627 472964 533763 604836 709446 711684 907254 1064169 1067526 1360881 1418892 1601289 1814508 2128338 2135052 2721762 3192507 3202578 4256676 5443524 6266773 6385014 6405156 9577521 12533546 12770028 18800319 19155042 25067092 37600638 38310084 56400957 75201276 112801914 169202871 225603828 338405742 507608613 676811484 1015217226 2030434452