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5301434232 = 233359341389
BaseRepresentation
bin1001110111111110…
…10111011101111000
3111200110120202121000
410323333113131320
541324131343412
62234020045000
7245242306323
oct47377273570
914613522530
105301434232
112280581006
12103b533760
1366643c443
143841297ba
1521064a4dc
hex13bfd7778

5301434232 has 64 divisors (see below), whose sum is σ = 14751396000. Its totient is φ = 1764122112.

The previous prime is 5301434219. The next prime is 5301434261. The reversal of 5301434232 is 2324341035.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5301434196 and 5301434205.

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 15 ways as a sum of consecutive naturals, for example, 107394 + ... + 148782.

Almost surely, 25301434232 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 5301434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375698000).

5301434232 is an abundant number, since it is smaller than the sum of its proper divisors (9449961768).

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

5301434232 is a wasteful number, since it uses less digits than its factorization.

5301434232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41997 (or 41987 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5301434232 is about 72810.9485723129. The cubic root of 5301434232 is about 1743.6706576918.

Adding to 5301434232 its reverse (2324341035), we get a palindrome (7625775267).

The spelling of 5301434232 in words is "five billion, three hundred one million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 593 1186 1779 2372 3558 4744 5337 7116 10674 14232 16011 21348 32022 41389 42696 64044 82778 124167 128088 165556 248334 331112 372501 496668 745002 993336 1117503 1490004 2235006 2980008 4470012 8940024 24543677 49087354 73631031 98174708 147262062 196349416 220893093 294524124 441786186 589048248 662679279 883572372 1325358558 1767144744 2650717116 5301434232