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5734475424 = 2532196191693
BaseRepresentation
bin1010101011100110…
…10010011010100000
3112210122102112102200
411111303102122200
543221011203144
62345005413200
7262051144146
oct52563223240
915718375380
105734475424
112482a64297
12114056a200
1370507c032
143c5851596
15238688c69
hex155cd26a0

5734475424 has 144 divisors (see below), whose sum is σ = 17203586400. Its totient is φ = 1806893568.

The previous prime is 5734475423. The next prime is 5734475429. The reversal of 5734475424 is 4245744375.

5734475424 is a `hidden beast` number, since 573 + 4 + 4 + 7 + 54 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5734475424.

It is not an unprimeable number, because it can be changed into a prime (5734475423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3386322 + ... + 3388014.

It is an arithmetic number, because the mean of its divisors is an integer number (119469350).

Almost surely, 25734475424 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 5734475424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601793200).

5734475424 is an abundant number, since it is smaller than the sum of its proper divisors (11469110976).

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

5734475424 is a wasteful number, since it uses less digits than its factorization.

5734475424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2336 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 45.

The square root of 5734475424 is about 75726.3192291821. The cubic root of 5734475424 is about 1789.9101547656.

The spelling of 5734475424 in words is "five billion, seven hundred thirty-four million, four hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 619 684 912 1238 1368 1693 1824 1857 2476 2736 3386 3714 4952 5079 5472 5571 6772 7428 9904 10158 11142 11761 13544 14856 15237 19808 20316 22284 23522 27088 29712 30474 32167 35283 40632 44568 47044 54176 59424 60948 64334 70566 81264 89136 94088 96501 105849 121896 128668 141132 162528 178272 188176 193002 211698 243792 257336 282264 289503 376352 386004 423396 487584 514672 564528 579006 772008 846792 1029344 1047967 1129056 1158012 1544016 1693584 2095934 2316024 3088032 3143901 3387168 4191868 4632048 6287802 8383736 9264096 9431703 12575604 16767472 18863406 19911373 25151208 33534944 37726812 39822746 50302416 59734119 75453624 79645492 100604832 119468238 150907248 159290984 179202357 238936476 301814496 318581968 358404714 477872952 637163936 716809428 955745904 1433618856 1911491808 2867237712 5734475424