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3430304043664 = 2459927732
BaseRepresentation
bin110001111010101110000…
…011011101001010010000
3110010221012210020120022111
4301322232003131022100
5422200230313344124
611143505424315104
7502555063164451
oct61725603351220
913127183216274
103430304043664
111102869228663
12474995a72a94
131bb626518814
14bc055a4b128
155e36b7c3494
hex31eae0dd290

3430304043664 has 45 divisors (see below), whose sum is σ = 6665951591593. Its totient is φ = 1710073541696.

The previous prime is 3430304043641. The next prime is 3430304043703. The reversal of 3430304043664 is 4663404030343.

The square root of 3430304043664 is 1852108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 218294528400 + 3212009515264 = 467220^2 + 1792208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4437650382 + ... + 4437651154.

Almost surely, 23430304043664 is an apocalyptic number.

3430304043664 is the 1852108-th square number.

It is an amenable number.

3430304043664 is a deficient number, since it is larger than the sum of its proper divisors (3235647547929).

3430304043664 is an frugal number, since it uses more digits than its factorization.

3430304043664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

The spelling of 3430304043664 in words is "three trillion, four hundred thirty billion, three hundred four million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 599 773 1198 1546 2396 3092 4792 6184 9584 12368 358801 463027 597529 717602 926054 1195058 1435204 1852108 2390116 2870408 3704216 4780232 5740816 7408432 9560464 277353173 357919871 554706346 715839742 1109412692 1431679484 2218825384 2863358968 4437650768 5726717936 214394002729 428788005458 857576010916 1715152021832 3430304043664