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5340634240 = 27519343237
BaseRepresentation
bin1001111100101001…
…11001110010000000
3111210012100022220011
410332110321302000
541414200243430
62241540154304
7246226433134
oct47624716200
914705308804
105340634240
1122a0715607
121050698994
136715b5b06
143894113c4
15213ce022a
hex13e539c80

5340634240 has 64 divisors (see below), whose sum is σ = 12833903160. Its totient is φ = 2125135872.

The previous prime is 5340634223. The next prime is 5340634259. The reversal of 5340634240 is 424360435.

It can be written as a sum of positive squares in 4 ways, for example, as 2029322304 + 3311311936 = 45048^2 + 57544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101902 + ... + 145138.

Almost surely, 25340634240 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 5340634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416951580).

5340634240 is an abundant number, since it is smaller than the sum of its proper divisors (7493268920).

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

5340634240 is a wasteful number, since it uses less digits than its factorization.

5340634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43449 (or 43437 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 5340634240 is about 73079.6431299442. The cubic root of 5340634240 is about 1747.9578071424.

Adding to 5340634240 its reverse (424360435), we get a palindrome (5764994675).

The spelling of 5340634240 in words is "five billion, three hundred forty million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 320 386 640 772 965 1544 1930 3088 3860 6176 7720 12352 15440 24704 30880 43237 61760 86474 123520 172948 216185 345896 432370 691792 864740 1383584 1729480 2767168 3458960 5534336 6917920 8344741 13835840 16689482 27671680 33378964 41723705 66757928 83447410 133515856 166894820 267031712 333789640 534063424 667579280 1068126848 1335158560 2670317120 5340634240