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348935323704 = 2331131714631297
BaseRepresentation
bin1010001001111100010…
…10101000000000111000
31020100122220101001001120
411010332022220000320
521204104420324304
6424144302545240
734131641212512
oct5047612500070
91210586331046
10348935323704
11124a89991290
1257761898220
1326b9b137b56
1412c622cabb2
1591238490d9
hex513e2a8038

348935323704 has 256 divisors, whose sum is σ = 999096975360. Its totient is φ = 100590336000.

The previous prime is 348935323687. The next prime is 348935323727. The reversal of 348935323704 is 407323539843.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269031984 + ... + 269033280.

It is an arithmetic number, because the mean of its divisors is an integer number (3902722560).

Almost surely, 2348935323704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348935323704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499548487680).

348935323704 is an abundant number, since it is smaller than the sum of its proper divisors (650161651656).

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

348935323704 is a wasteful number, since it uses less digits than its factorization.

348935323704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 348935323704 in words is "three hundred forty-eight billion, nine hundred thirty-five million, three hundred twenty-three thousand, seven hundred four".