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5344000404 = 22329612271109
BaseRepresentation
bin1001111101000011…
…01111100110010100
3111210102200100101220
410332201233212110
541421031003104
62242140250340
7246300153051
oct47641574624
914712610356
105344000404
1122a2604666
1210518409b0
136721c4022
14389a4a028
152142577d9
hex13e86f994

5344000404 has 96 divisors (see below), whose sum is σ = 13180406400. Its totient is φ = 1682741760.

The previous prime is 5344000399. The next prime is 5344000421. The reversal of 5344000404 is 4040004435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4818202 + ... + 4819310.

It is an arithmetic number, because the mean of its divisors is an integer number (137295900).

Almost surely, 25344000404 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 5344000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590203200).

5344000404 is an abundant number, since it is smaller than the sum of its proper divisors (7836405996).

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

5344000404 is a wasteful number, since it uses less digits than its factorization.

5344000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5344000404 is about 73102.6702932253. The cubic root of 5344000404 is about 1748.3249718283.

Adding to 5344000404 its reverse (4040004435), we get a palindrome (9384004839).

The spelling of 5344000404 in words is "five billion, three hundred forty-four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 227 244 348 366 454 681 732 908 1109 1362 1769 2218 2724 3327 3538 4436 5307 6583 6654 7076 10614 13166 13308 13847 19749 21228 26332 27694 32161 39498 41541 55388 64322 67649 78996 83082 96483 128644 135298 166164 192966 202947 251743 270596 385932 401563 405894 503486 755229 803126 811788 1006972 1204689 1510458 1606252 1961821 2409378 3020916 3923642 4818756 5885463 7300547 7847284 11770926 14601094 15356323 21901641 23541852 29202188 30712646 43803282 46068969 61425292 87606564 92137938 184275876 445333367 890666734 1336000101 1781333468 2672000202 5344000404