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2340202464 = 253273791409
BaseRepresentation
bin1000101101111100…
…1010011111100000
320001002111121021100
42023133022133200
514243042434324
61024114354400
7111664251465
oct21337123740
96032447240
102340202464
11aa0a8a826
1255388ba00
132b3aacbb2
14182b3566c
15da6b34c9
hex8b7ca7e0

2340202464 has 144 divisors (see below), whose sum is σ = 6836356800. Its totient is φ = 759103488.

The previous prime is 2340202453. The next prime is 2340202489. The reversal of 2340202464 is 4642020432.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1660192 + ... + 1661600.

It is an arithmetic number, because the mean of its divisors is an integer number (47474700).

Almost surely, 22340202464 is an apocalyptic number.

2340202464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418178400).

2340202464 is an abundant number, since it is smaller than the sum of its proper divisors (4496154336).

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

2340202464 is a wasteful number, since it uses less digits than its factorization.

2340202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2340202464 is about 48375.6391585682. The cubic root of 2340202464 is about 1327.6526829183.

Adding to 2340202464 its reverse (4642020432), we get a palindrome (6982222896).

The spelling of 2340202464 in words is "two billion, three hundred forty million, two hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 79 96 144 146 158 219 237 288 292 316 438 474 584 632 657 711 876 948 1168 1264 1314 1409 1422 1752 1896 2336 2528 2628 2818 2844 3504 3792 4227 5256 5636 5688 5767 7008 7584 8454 10512 11272 11376 11534 12681 16908 17301 21024 22544 22752 23068 25362 33816 34602 45088 46136 50724 51903 67632 69204 92272 101448 102857 103806 111311 135264 138408 184544 202896 205714 207612 222622 276816 308571 333933 405792 411428 415224 445244 553632 617142 667866 822856 830448 890488 925713 1001799 1234284 1335732 1645712 1660896 1780976 1851426 2003598 2468568 2671464 3291424 3561952 3702852 4007196 4937136 5342928 7405704 8014392 8125703 9874272 10685856 14811408 16028784 16251406 24377109 29622816 32057568 32502812 48754218 65005624 73131327 97508436 130011248 146262654 195016872 260022496 292525308 390033744 585050616 780067488 1170101232 2340202464