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5424266340 = 22325103307953
BaseRepresentation
bin1010000110100111…
…11011110001100100
3112000000201021120100
411003103323301210
542102103010330
62254124504100
7251263334403
oct50323736144
915000637510
105424266340
112333947649
1210746ab030
13685a1846c
1439658163a
1521b310060
hex1434fbc64

5424266340 has 144 divisors (see below), whose sum is σ = 16684956288. Its totient is φ = 1426263552.

The previous prime is 5424266327. The next prime is 5424266363. The reversal of 5424266340 is 436624245.

5424266340 is a `hidden beast` number, since 54 + 2 + 4 + 266 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5424266295 and 5424266304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5691304 + ... + 5692256.

It is an arithmetic number, because the mean of its divisors is an integer number (115867752).

Almost surely, 25424266340 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 5424266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342478144).

5424266340 is an abundant number, since it is smaller than the sum of its proper divisors (11260689948).

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

5424266340 is a wasteful number, since it uses less digits than its factorization.

5424266340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5424266340 is about 73649.6187362840. The cubic root of 5424266340 is about 1757.0346869192.

The spelling of 5424266340 in words is "five billion, four hundred twenty-four million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 307 309 412 515 614 618 921 927 953 1030 1228 1236 1535 1545 1842 1854 1906 2060 2763 2859 3070 3090 3684 3708 3812 4605 4635 4765 5526 5718 6140 6180 8577 9210 9270 9530 11052 11436 13815 14295 17154 18420 18540 19060 27630 28590 31621 34308 42885 55260 57180 63242 85770 94863 98159 126484 158105 171540 189726 196318 284589 292571 294477 316210 379452 392636 474315 490795 569178 585142 588954 632420 877713 883431 948630 981590 1138356 1170284 1177908 1422945 1462855 1472385 1755426 1766862 1897260 1963180 2633139 2845890 2925710 2944770 3510852 3533724 4388565 4417155 5266278 5691780 5851420 5889540 8777130 8834310 10532556 13165695 17554260 17668620 26331390 30134813 52662780 60269626 90404439 120539252 150674065 180808878 271213317 301348130 361617756 452022195 542426634 602696260 904044390 1084853268 1356066585 1808088780 2712133170 5424266340