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5344366432 = 251737793361
BaseRepresentation
bin1001111101000110…
…01000111101100000
3111210110100221111111
410332203020331200
541421124211212
62242152153104
7246303236146
oct47643107540
914713327444
105344366432
1122a2834669
121051998794
136722c1802
14389b03596
152142caea7
hex13e8c8f60

5344366432 has 96 divisors (see below), whose sum is σ = 11590024320. Its totient is φ = 2415329280.

The previous prime is 5344366399. The next prime is 5344366439. The reversal of 5344366432 is 2346634435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344366439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588432 + ... + 1591792.

It is an arithmetic number, because the mean of its divisors is an integer number (120729420).

Almost surely, 25344366432 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 5344366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795012160).

5344366432 is an abundant number, since it is smaller than the sum of its proper divisors (6245657888).

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

5344366432 is a wasteful number, since it uses less digits than its factorization.

5344366432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3496 counting only the distinct ones).

The product of its digits is 622080, while the sum is 40.

The square root of 5344366432 is about 73105.1737703974. The cubic root of 5344366432 is about 1748.3648870750.

The spelling of 5344366432 in words is "five billion, three hundred forty-four million, three hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 79 136 148 158 272 296 316 544 592 629 632 1184 1258 1264 1343 2516 2528 2686 2923 3361 5032 5372 5846 6722 10064 10744 11692 13444 20128 21488 23384 26888 42976 46768 49691 53776 57137 93536 99382 107552 114274 124357 198764 228548 248714 265519 397528 457096 497428 531038 795056 914192 994856 1062076 1590112 1828384 1989712 2114069 2124152 3979424 4228138 4248304 4513823 8456276 8496608 9027646 9824203 16912552 18055292 19648406 33825104 36110584 39296812 67650208 72221168 78593624 144442336 157187248 167011451 314374496 334022902 668045804 1336091608 2672183216 5344366432