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346868643 = 31121019461
BaseRepresentation
bin10100101011001…
…100101110100011
3220011200202022210
4110223030232203
51202244244033
654230333203
711411222562
oct2453145643
9804622283
10346868643
11168886600
12981ba203
1356b2ab24
14340d3bd9
15206bad63
hex14accba3

346868643 has 24 divisors (see below), whose sum is σ = 513445968. Its totient is φ = 208120000.

The previous prime is 346868567. The next prime is 346868647.

346868643 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-346868643 is a prime.

It is a super-2 number, since 2×3468686432 = 240635710993322898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346868592 and 346868601.

It is not an unprimeable number, because it can be changed into a prime (346868647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31933 + ... + 41393.

It is an arithmetic number, because the mean of its divisors is an integer number (21393582).

Almost surely, 2346868643 is an apocalyptic number.

346868643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346868643 is a deficient number, since it is larger than the sum of its proper divisors (166577325).

346868643 is a wasteful number, since it uses less digits than its factorization.

346868643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9576 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 346868643 is about 18624.4098698455. The cubic root of 346868643 is about 702.6218971783.

The spelling of 346868643 in words is "three hundred forty-six million, eight hundred sixty-eight thousand, six hundred forty-three".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 9461 12221 28383 36663 104071 312213 955561 1144781 2866683 3434343 10511171 31533513 115622881 346868643