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345423602304 = 2733119086269
BaseRepresentation
bin1010000011011001101…
…10011110001010000000
31020000121011110002221000
411001230312132022000
521124411420233204
6422404014332000
733645630113634
oct5015466361200
91200534402830
10345423602304
11123547688aa0
1256b417ba000
132675b7262b1
1412a0bb5adc4
158eba3c4039
hex506cd9e280

345423602304 has 128 divisors (see below), whose sum is σ = 1112159448000. Its totient is φ = 104673807360.

The previous prime is 345423602273. The next prime is 345423602389. The reversal of 345423602304 is 403206324543.

345423602304 is a `hidden beast` number, since 3 + 4 + 5 + 42 + 3 + 602 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 4505119 + ... + 4581150.

Almost surely, 2345423602304 is an apocalyptic number.

It is an amenable number.

345423602304 is an abundant number, since it is smaller than the sum of its proper divisors (766735845696).

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

345423602304 is a wasteful number, since it uses less digits than its factorization.

345423602304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086303 (or 9086285 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 345423602304 its reverse (403206324543), we get a palindrome (748629926847).

The spelling of 345423602304 in words is "three hundred forty-five billion, four hundred twenty-three million, six hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 9086269 18172538 27258807 36345076 54517614 72690152 81776421 99948959 109035228 145380304 163552842 199897918 218070456 245329263 290760608 299846877 327105684 399795836 436140912 490658526 581521216 599693754 654211368 799591672 872281824 899540631 981317052 1163042432 1199387508 1308422736 1599183344 1744563648 1799081262 1962634104 2398775016 2616845472 2698621893 3198366688 3489127296 3598162524 3925268208 4797550032 5233690944 5397243786 6396733376 7196325048 7850536416 9595100064 10467381888 10794487572 12793466752 14392650096 15701072832 19190200128 21588975144 28785300192 31402145664 38380400256 43177950288 57570600384 86355900576 115141200768 172711801152 345423602304