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544334000340 = 2235138873
BaseRepresentation
bin1111110101111001101…
…01011011000011010100
31221001000120110021112010
413322330311123003110
532404244001002330
61054021422424220
754220050442554
oct7727465330324
91831016407463
10544334000340
1119a93a3970a9
12895b4432070
133c43b095580
141c4bb249164
15e25cd683b0
hex7ebcd5b0d4

544334000340 has 96 divisors (see below), whose sum is σ = 1643228939520. Its totient is φ = 133838848128.

The previous prime is 544334000323. The next prime is 544334000381. The reversal of 544334000340 is 43000433445.

It is a super-2 number, since 2×5443340003402 (a number of 24 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 = 544334000298 and 544334000307.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11531 × 4435 × 10644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613679377 + ... + 613680263.

It is an arithmetic number, because the mean of its divisors is an integer number (17116968120).

Almost surely, 2544334000340 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 544334000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821614469760).

544334000340 is an abundant number, since it is smaller than the sum of its proper divisors (1098894939180).

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

544334000340 is an frugal number, since it uses more digits than its factorization.

544334000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 910 counting only the distinct ones).

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

Adding to 544334000340 its reverse (43000433445), we get a palindrome (587334433785).

The spelling of 544334000340 in words is "five hundred forty-four billion, three hundred thirty-four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 887 1774 2661 3548 4435 5322 8870 10644 11531 13305 17740 23062 26610 34593 46124 53220 57655 69186 115310 138372 172965 230620 345930 691860 786769 1573538 2360307 3147076 3933845 4720614 7867690 9441228 10227997 11801535 15735380 20455994 23603070 30683991 40911988 47206140 51139985 61367982 102279970 122735964 153419955 204559940 306839910 613679820 697864103 1395728206 2093592309 2791456412 3489320515 4187184618 6978641030 8374369236 9072233339 10467961545 13957282060 18144466678 20935923090 27216700017 36288933356 41871846180 45361166695 54433400034 90722333390 108866800068 136083500085 181444666780 272167000170 544334000340