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345544260 = 223519614969
BaseRepresentation
bin10100100110001…
…001011001000100
3220002012110121120
4110212021121010
51201424404020
654142113540
711364035445
oct2446113104
9802173546
10345544260
11168061576
129787b8b0
1356786079
1433c6b2cc
1520508740
hex14989644

345544260 has 96 divisors (see below), whose sum is σ = 1035350400. Its totient is φ = 85847040.

The previous prime is 345544253. The next prime is 345544273. The reversal of 345544260 is 62445543.

345544260 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

345544260 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67056 + ... + 72024.

It is an arithmetic number, because the mean of its divisors is an integer number (10784900).

Almost surely, 2345544260 is an apocalyptic number.

345544260 is a gapful number since it is divisible by the number (30) 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 345544260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517675200).

345544260 is an abundant number, since it is smaller than the sum of its proper divisors (689806140).

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

345544260 is a wasteful number, since it uses less digits than its factorization.

345544260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 345544260 is about 18588.8208340389. The cubic root of 345544260 is about 701.7265271915.

The spelling of 345544260 in words is "three hundred forty-five million, five hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 4969 5795 6954 9938 11590 13908 14907 17385 19876 23180 24845 29814 34770 49690 59628 69540 74535 94411 99380 149070 188822 283233 298140 303109 377644 472055 566466 606218 909327 944110 1132932 1212436 1416165 1515545 1818654 1888220 2832330 3031090 3637308 4546635 5664660 5759071 6062180 9093270 11518142 17277213 18186540 23036284 28795355 34554426 57590710 69108852 86386065 115181420 172772130 345544260