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345628377 = 36171672
BaseRepresentation
bin10100100110011…
…101111011011001
3220002100202000000
4110212131323121
51201440102002
654144003213
711364535623
oct2446357331
9802322000
10345628377
11168109796
1297900509
13567b5443
1433c8dc13
152052361c
hex1499ded9

345628377 has 42 divisors (see below), whose sum is σ = 551993418. Its totient is φ = 215566272.

The previous prime is 345628303. The next prime is 345628399. The reversal of 345628377 is 773826543.

345628377 is a `hidden beast` number, since 3 + 4 + 562 + 83 + 7 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325297296 + 20331081 = 18036^2 + 4509^2 .

It is not a de Polignac number, because 345628377 - 212 = 345624281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345628477) 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 41 ways as a sum of consecutive naturals, for example, 2069548 + ... + 2069714.

Almost surely, 2345628377 is an apocalyptic number.

It is an amenable number.

345628377 is a deficient number, since it is larger than the sum of its proper divisors (206365041).

345628377 is an frugal number, since it uses more digits than its factorization.

345628377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 187 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 345628377 is about 18591.0832659100. The cubic root of 345628377 is about 701.7834637869.

The spelling of 345628377 in words is "three hundred forty-five million, six hundred twenty-eight thousand, three hundred seventy-seven".

Divisors: 1 3 9 17 27 51 81 153 167 243 459 501 729 1377 1503 2839 4131 4509 8517 12393 13527 25551 27889 40581 76653 83667 121743 229959 251001 474113 689877 753003 1422339 2069631 2259009 4267017 6777027 12801051 20331081 38403153 115209459 345628377