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1934130024 = 2332434571367
BaseRepresentation
bin111001101001000…
…0111101101101000
311222210101222121100
41303102013231220
512430114130044
6515531041400
765633556021
oct16322075550
94883358540
101934130024
11902847572
1245b8a0260
1324a923648
14144c2dc48
15b4c00869
hex73487b68

1934130024 has 96 divisors (see below), whose sum is σ = 5375747520. Its totient is φ = 627879168.

The previous prime is 1934130013. The next prime is 1934130059. The reversal of 1934130024 is 4200314391.

1934130024 is a `hidden beast` number, since 19 + 341 + 300 + 2 + 4 = 666.

1934130024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1934130024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414189 + ... + 1415555.

It is an arithmetic number, because the mean of its divisors is an integer number (55997370).

Almost surely, 21934130024 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 1934130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687873760).

1934130024 is an abundant number, since it is smaller than the sum of its proper divisors (3441617496).

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

1934130024 is a wasteful number, since it uses less digits than its factorization.

1934130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1934130024 is about 43978.7451389873. The cubic root of 1934130024 is about 1245.9345303534.

The spelling of 1934130024 in words is "one billion, nine hundred thirty-four million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 457 516 774 914 1032 1367 1371 1548 1828 2734 2742 3096 3656 4101 4113 5468 5484 8202 8226 10936 10968 12303 16404 16452 19651 24606 32808 32904 39302 49212 58781 58953 78604 98424 117562 117906 157208 176343 176859 235124 235812 352686 353718 470248 471624 529029 624719 705372 707436 1058058 1249438 1410744 1414872 1874157 2116116 2498876 3748314 4232232 4997752 5622471 7496628 11244942 14993256 22489884 26862917 44979768 53725834 80588751 107451668 161177502 214903336 241766253 322355004 483532506 644710008 967065012 1934130024