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2543306364 = 2234892991
BaseRepresentation
bin1001011110010111…
…1100011001111100
320120020200100110000
42113211330121330
520202041300424
61100211514300
7120011514234
oct22745743174
96506610400
102543306364
1110956a2795
125ab8b8990
13316bb2c11
141a1ac4cc4
15ed4323c9
hex9797c67c

2543306364 has 90 divisors (see below), whose sum is σ = 6731034464. Its totient is φ = 837397440.

The previous prime is 2543306357. The next prime is 2543306387. The reversal of 2543306364 is 4636033452.

It is a super-2 number, since 2×25433063642 = 12936814522325800992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2565909 + ... + 2566899.

Almost surely, 22543306364 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 2543306364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365517232).

2543306364 is an abundant number, since it is smaller than the sum of its proper divisors (4187728100).

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

2543306364 is an equidigital number, since it uses as much as digits as its factorization.

2543306364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 2543306364 is about 50431.2042687858. The cubic root of 2543306364 is about 1365.0007583621. Note that the first 3 decimals are identical.

The spelling of 2543306364 in words is "two billion, five hundred forty-three million, three hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 991 1068 1602 1982 2403 2973 3204 3964 4806 5946 7209 7921 8919 9612 11892 14418 15842 17838 23763 26757 28836 31684 35676 47526 53514 71289 80271 88199 95052 107028 142578 160542 176398 213867 264597 285156 321084 352796 427734 529194 641601 793791 855468 1058388 1283202 1587582 2381373 2566404 3175164 4762746 7144119 7849711 9525492 14288238 15699422 23549133 28576476 31398844 47098266 70647399 94196532 141294798 211942197 282589596 423884394 635826591 847768788 1271653182 2543306364