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345423747504 = 243111016477343
BaseRepresentation
bin1010000011011001101…
…11000001100110110000
31020000121011201111002210
411001230313001212300
521124411434410004
6422404021412120
733645631260153
oct5015467014660
91200534644083
10345423747504
111235477780a0
1256b4186a040
132675b777404
1412a0bb97c9a
158eba402089
hex506cdc19b0

345423747504 has 80 divisors (see below), whose sum is σ = 983105362944. Its totient is φ = 103637472000.

The previous prime is 345423747437. The next prime is 345423747509. The reversal of 345423747504 is 405747324543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345423747509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3185344 + ... + 3291999.

Almost surely, 2345423747504 is an apocalyptic number.

It is an amenable number.

345423747504 is an abundant number, since it is smaller than the sum of its proper divisors (637681615440).

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

345423747504 is a wasteful number, since it uses less digits than its factorization.

345423747504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477466 (or 6477460 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 48.

The spelling of 345423747504 in words is "three hundred forty-five billion, four hundred twenty-three million, seven hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 6477343 12954686 19432029 25909372 38864058 51818744 71250773 77728116 103637488 142501546 155456232 213752319 285003092 310912464 427504638 570006184 654211643 855009276 1140012368 1308423286 1710018552 1962634929 2616846572 3420037104 3925269858 5233693144 7196328073 7850539716 10467386288 14392656146 15701079432 21588984219 28785312292 31402158864 43177968438 57570624584 86355936876 115141249168 172711873752 345423747504