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3420515345 = 5131729173617
BaseRepresentation
bin1100101111100000…
…1110110000010001
322211101022011221112
43023320032300101
524001122442340
61323225303105
7150522620642
oct31370166021
98741264845
103420515345
1114a5878895
127b5634a95
134268599a0
142463cb6c9
1515045b065
hexcbe0ec11

3420515345 has 64 divisors (see below), whose sum is σ = 4877651520. Its totient is φ = 2278391808.

The previous prime is 3420515339. The next prime is 3420515359. The reversal of 3420515345 is 5435150243.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 2291824129 + 1128691216 = 47873^2 + 33596^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420515345 - 28 = 3420515089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5543477 + ... + 5544093.

It is an arithmetic number, because the mean of its divisors is an integer number (76213305).

Almost surely, 23420515345 is an apocalyptic number.

It is an amenable number.

3420515345 is a deficient number, since it is larger than the sum of its proper divisors (1457136175).

3420515345 is a wasteful number, since it uses less digits than its factorization.

3420515345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854.

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 3420515345 is about 58485.1720096641. The cubic root of 3420515345 is about 1506.7129269989.

Adding to 3420515345 its reverse (5435150243), we get a palindrome (8855665588).

The spelling of 3420515345 in words is "three billion, four hundred twenty million, five hundred fifteen thousand, three hundred forty-five".

Divisors: 1 5 13 17 29 65 85 145 173 221 377 493 617 865 1105 1885 2249 2465 2941 3085 5017 6409 8021 10489 11245 14705 17893 25085 32045 38233 40105 52445 65221 85289 89465 106741 136357 191165 232609 304181 326105 426445 533705 681785 1108757 1163045 1387633 1520905 1814597 3095489 3954353 5543785 6938165 9072985 15477445 19771765 23589761 40241357 52623313 117948805 201206785 263116565 684103069 3420515345