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345756321 = 3241937009
BaseRepresentation
bin10100100110111…
…101001010100001
3220002121020111200
4110212331022201
51202003200241
654150431413
711365610631
oct2446751241
9802536450
10345756321
11168196929
1297962569
135682b751
1433cc46c1
152054b4b6
hex149bd2a1

345756321 has 12 divisors (see below), whose sum is σ = 511607460. Its totient is φ = 224881920.

The previous prime is 345756283. The next prime is 345756347. The reversal of 345756321 is 123657543.

345756321 is a `hidden beast` number, since 3 + 4 + 575 + 63 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 336539025 = 3036^2 + 18345^2 .

It is not a de Polignac number, because 345756321 - 211 = 345754273 is a prime.

It is a super-2 number, since 2×3457563212 = 239094867022910082, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345756391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468136 + ... + 468873.

It is an arithmetic number, because the mean of its divisors is an integer number (42633955).

Almost surely, 2345756321 is an apocalyptic number.

It is an amenable number.

345756321 is a deficient number, since it is larger than the sum of its proper divisors (165851139).

345756321 is a wasteful number, since it uses less digits than its factorization.

345756321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937056 (or 937053 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 345756321 is about 18594.5239519596. The cubic root of 345756321 is about 701.8700480225.

The spelling of 345756321 in words is "three hundred forty-five million, seven hundred fifty-six thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 937009 2811027 8433081 38417369 115252107 345756321