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5340243456 = 29321768171
BaseRepresentation
bin1001111100100110…
…11010011000000000
3111210011121110211200
410332103122120000
541414100242311
62241523541200
7246223214622
oct47623323000
914704543750
105340243456
1122a0478a49
12105052a800
136714a9c92
1438934cc12
15213c64556
hex13e4da600

5340243456 has 120 divisors (see below), whose sum is σ = 16319149704. Its totient is φ = 1675345920.

The previous prime is 5340243449. The next prime is 5340243479. The reversal of 5340243456 is 6543420435.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5340243456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44251 + ... + 112421.

Almost surely, 25340243456 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 5340243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159574852).

5340243456 is an abundant number, since it is smaller than the sum of its proper divisors (10978906248).

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

5340243456 is a wasteful number, since it uses less digits than its factorization.

5340243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68212 (or 68193 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5340243456 is about 73076.9693952890. The cubic root of 5340243456 is about 1747.9151723432.

The spelling of 5340243456 in words is "five billion, three hundred forty million, two hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 39168 68171 78336 136342 204513 272684 409026 545368 613539 818052 1090736 1158907 1227078 1636104 2181472 2317814 2454156 3272208 3476721 4362944 4635628 4908312 6544416 6953442 8725888 9271256 9816624 10430163 13088832 13906884 17451776 18542512 19633248 20860326 26177664 27813768 34903552 37085024 39266496 41720652 52355328 55627536 74170048 78532992 83441304 104710656 111255072 148340096 157065984 166882608 222510144 296680192 314131968 333765216 445020288 593360384 667530432 890040576 1335060864 1780081152 2670121728 5340243456