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345072364 = 227136115541
BaseRepresentation
bin10100100100010…
…110001011101100
3220001022111021221
4110210112023230
51201314303424
654124033124
711360031610
oct2444261354
9801274257
10345072364
11167869a7a
12976927a4
135664c340
1433b87340
15204639e4
hex149162ec

345072364 has 48 divisors (see below), whose sum is σ = 755465536. Its totient is φ = 134265600.

The previous prime is 345072361. The next prime is 345072373. The reversal of 345072364 is 463270543.

It is not an unprimeable number, because it can be changed into a prime (345072361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14434 + ... + 29974.

Almost surely, 2345072364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345072364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377732768).

345072364 is an abundant number, since it is smaller than the sum of its proper divisors (410393172).

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

345072364 is a wasteful number, since it uses less digits than its factorization.

345072364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15626 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 345072364 is about 18576.1234922682. The cubic root of 345072364 is about 701.4069416984.

The spelling of 345072364 in words is "three hundred forty-five million, seventy-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 364 427 793 854 1586 1708 3172 5551 11102 15541 22204 31082 62164 108787 202033 217574 404066 435148 808132 948001 1414231 1896002 2828462 3792004 5656924 6636007 12324013 13272014 24648026 26544028 49296052 86268091 172536182 345072364