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348031760148 = 22329667548893
BaseRepresentation
bin1010001000010000100…
…11110011011100010100
31020021022221011020212200
411010020103303130110
521200232112311043
6423514504244500
734100360102442
oct5041023633424
91207287136780
10348031760148
11124665945646
125754b170730
1326a85b94467
1412bb82c3b92
1590be3667d3
hex51084f3714

348031760148 has 18 divisors (see below), whose sum is σ = 879746949354. Its totient is φ = 116010586704.

The previous prime is 348031760137. The next prime is 348031760173. The reversal of 348031760148 is 841067130843.

348031760148 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 31 + 7 + 601 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211662564624 + 136369195524 = 460068^2 + 369282^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3480317601482 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4833774411 + ... + 4833774482.

Almost surely, 2348031760148 is an apocalyptic number.

It is an amenable number.

348031760148 is an abundant number, since it is smaller than the sum of its proper divisors (531715189206).

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

348031760148 is a wasteful number, since it uses less digits than its factorization.

348031760148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667548903 (or 9667548898 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 348031760148 in words is "three hundred forty-eight billion, thirty-one million, seven hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 9667548893 19335097786 29002646679 38670195572 58005293358 87007940037 116010586716 174015880074 348031760148