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345150330 = 235710116273
BaseRepresentation
bin10100100100101…
…001001101111010
3220001110110020120
4110210221031322
51201324302310
654125434110
711360505120
oct2444511572
9801413216
10345150330
11167912608
129770b936
1356678985
1433ba7910
152047bb70
hex1492937a

345150330 has 64 divisors (see below), whose sum is σ = 956130048. Its totient is φ = 78105600.

The previous prime is 345150329. The next prime is 345150349. The reversal of 345150330 is 33051543.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345150330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13074 + ... + 29346.

It is an arithmetic number, because the mean of its divisors is an integer number (14939532).

Almost surely, 2345150330 is an apocalyptic number.

345150330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345150330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478065024).

345150330 is an abundant number, since it is smaller than the sum of its proper divisors (610979718).

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

345150330 is a wasteful number, since it uses less digits than its factorization.

345150330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 345150330 is about 18578.2219278380. The cubic root of 345150330 is about 701.4597632524.

The spelling of 345150330 in words is "three hundred forty-five million, one hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1414 1515 2121 3030 3535 4242 7070 10605 16273 21210 32546 48819 81365 97638 113911 162730 227822 244095 341733 488190 569555 683466 1139110 1643573 1708665 3287146 3417330 4930719 8217865 9861438 11505011 16435730 23010022 24653595 34515033 49307190 57525055 69030066 115050110 172575165 345150330