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6345240384 = 263710744123
BaseRepresentation
bin1011110100011010…
…01010111101000000
3121101012200121110010
411322031022331000
5100443340143014
62525344304520
7313145440050
oct57215127500
917335617403
106345240384
1127667a501a
121291012140
137a1776712
144429db560
152720d1359
hex17a34af40

6345240384 has 112 divisors (see below), whose sum is σ = 19366553088. Its totient is φ = 1795941888.

The previous prime is 6345240359. The next prime is 6345240403. The reversal of 6345240384 is 4830425436.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121747 + ... + 165869.

Almost surely, 26345240384 is an apocalyptic number.

6345240384 is a gapful number since it is divisible by the number (64) 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 6345240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683276544).

6345240384 is an abundant number, since it is smaller than the sum of its proper divisors (13021312704).

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

6345240384 is a wasteful number, since it uses less digits than its factorization.

6345240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44252 (or 44242 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 6345240384 is about 79657.0171673532. The cubic root of 6345240384 is about 1851.3251167506.

The spelling of 6345240384 in words is "six billion, three hundred forty-five million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 642 672 749 856 1284 1344 1498 1712 2247 2568 2996 3424 4494 5136 5992 6848 8988 10272 11984 17976 20544 23968 35952 44123 47936 71904 88246 132369 143808 176492 264738 308861 352984 529476 617722 705968 926583 1058952 1235444 1411936 1853166 2117904 2470888 2823872 3706332 4235808 4721161 4941776 7412664 8471616 9442322 9883552 14163483 14825328 18884644 19767104 28326966 29650656 33048127 37769288 56653932 59301312 66096254 75538576 99144381 113307864 132192508 151077152 198288762 226615728 264385016 302154304 396577524 453231456 528770032 793155048 906462912 1057540064 1586310096 2115080128 3172620192 6345240384