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5342030304 = 2531328115233
BaseRepresentation
bin1001111100110100…
…01110100111100000
3111210021222020221020
410332122032213200
541420024432204
62242030125440
7246244336242
oct47632164740
914707866836
105342030304
1122a1489486
121051050880
136719843a0
14389696092
15213eb8bd9
hex13e68e9e0

5342030304 has 96 divisors (see below), whose sum is σ = 15156245664. Its totient is φ = 1637744640.

The previous prime is 5342030251. The next prime is 5342030311. The reversal of 5342030304 is 4030302435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343072 + ... + 358304.

It is an arithmetic number, because the mean of its divisors is an integer number (157877559).

Almost surely, 25342030304 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 5342030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578122832).

5342030304 is an abundant number, since it is smaller than the sum of its proper divisors (9814215360).

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

5342030304 is a wasteful number, since it uses less digits than its factorization.

5342030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 5342030304 is about 73089.1941671271. The cubic root of 5342030304 is about 1748.1101016863.

Adding to 5342030304 its reverse (4030302435), we get a palindrome (9372332739).

The spelling of 5342030304 in words is "five billion, three hundred forty-two million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 281 312 416 562 624 843 1124 1248 1686 2248 3372 3653 4496 6744 7306 8992 10959 13488 14612 15233 21918 26976 29224 30466 43836 45699 58448 60932 87672 91398 116896 121864 175344 182796 198029 243728 350688 365592 396058 487456 594087 731184 792116 1188174 1462368 1584232 2376348 3168464 4280473 4752696 6336928 8560946 9505392 12841419 17121892 19010784 25682838 34243784 51365676 55646149 68487568 102731352 111292298 136975136 166938447 205462704 222584596 333876894 410925408 445169192 667753788 890338384 1335507576 1780676768 2671015152 5342030304