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45434030340 = 223517102143627
BaseRepresentation
bin101010010100000101…
…000100100100000100
311100021101010212202110
4222110011010210010
51221022102432330
632512212541020
73165616612566
oct522405044404
9140241125673
1045434030340
11182a5364506
12897b921770
134390b0902a
1422b0171336
1512adac4db0
hexa94144904

45434030340 has 96 divisors (see below), whose sum is σ = 134833555584. Its totient is φ = 11391621120.

The previous prime is 45434030333. The next prime is 45434030353. The reversal of 45434030340 is 4303043454.

It is a super-2 number, since 2×454340303402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45434030298 and 45434030307.

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 31 ways as a sum of consecutive naturals, for example, 1019607 + ... + 1063233.

It is an arithmetic number, because the mean of its divisors is an integer number (1404516204).

Almost surely, 245434030340 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 45434030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67416777792).

45434030340 is an abundant number, since it is smaller than the sum of its proper divisors (89399525244).

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

45434030340 is a wasteful number, since it uses less digits than its factorization.

45434030340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44677 (or 44675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 45434030340 its reverse (4303043454), we get a palindrome (49737073794).

The spelling of 45434030340 in words is "forty-five billion, four hundred thirty-four million, thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1021 2042 3063 4084 5105 6126 10210 12252 15315 17357 20420 30630 34714 43627 52071 61260 69428 86785 87254 104142 130881 173570 174508 208284 218135 260355 261762 347140 436270 520710 523524 654405 741659 872540 1041420 1308810 1483318 2224977 2617620 2966636 3708295 4449954 7416590 8899908 11124885 14833180 22249770 44499540 44543167 89086334 133629501 178172668 222715835 267259002 445431670 534518004 668147505 757233839 890863340 1336295010 1514467678 2271701517 2672590020 3028935356 3786169195 4543403034 7572338390 9086806068 11358507585 15144676780 22717015170 45434030340