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348292953 = 34972457
BaseRepresentation
bin10100110000101…
…000011101011001
3220021101010010000
4110300220131121
51203130333303
654321043213
711426304231
oct2460503531
9807333100
10348292953
11169669718
1298786509
1357209208
1434384cc1
152089cda3
hex14c28759

348292953 has 30 divisors (see below), whose sum is σ = 526858926. Its totient is φ = 229298688.

The previous prime is 348292949. The next prime is 348292969. The reversal of 348292953 is 359292843.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 93954249 + 254338704 = 9693^2 + 15948^2 .

It is not a de Polignac number, because 348292953 - 22 = 348292949 is a prime.

It is a super-2 number, since 2×3482929532 = 242615962218920418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348292899 and 348292908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348292913) 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 29 ways as a sum of consecutive naturals, for example, 761901 + ... + 762357.

Almost surely, 2348292953 is an apocalyptic number.

It is an amenable number.

348292953 is a deficient number, since it is larger than the sum of its proper divisors (178565973).

348292953 is an frugal number, since it uses more digits than its factorization.

348292953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 557 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 348292953 is about 18662.6084189751. The cubic root of 348292953 is about 703.5822845092.

The spelling of 348292953 in words is "three hundred forty-eight million, two hundred ninety-two thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 81 97 291 457 873 1371 2619 4113 7857 9409 12339 28227 37017 44329 84681 132987 254043 398961 762129 1196883 3590649 4299913 12899739 38699217 116097651 348292953