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348129813400 = 23522391172797
BaseRepresentation
bin1010001000011100010…
…01110110001110011000
31020021120202122212122121
411010032021312032120
521200432213012100
6423532330031024
734102660406125
oct5041611661630
91207522585577
10348129813400
11124706227496
1257577b78474
1326aa02a5b35
1412bc732974c
1590c7c8451a
hex510e276398

348129813400 has 48 divisors (see below), whose sum is σ = 809446785840. Its totient is φ = 139244188800.

The previous prime is 348129813397. The next prime is 348129813407. The reversal of 348129813400 is 4318921843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348129813407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4745802 + ... + 4818598.

It is an arithmetic number, because the mean of its divisors is an integer number (16863474705).

Almost surely, 2348129813400 is an apocalyptic number.

It is an amenable number.

348129813400 is an abundant number, since it is smaller than the sum of its proper divisors (461316972440).

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

348129813400 is a wasteful number, since it uses less digits than its factorization.

348129813400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96724 (or 96715 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 348129813400 in words is "three hundred forty-eight billion, one hundred twenty-nine million, eight hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 23911 47822 72797 95644 119555 145594 191288 239110 291188 363985 478220 582376 597775 727970 956440 1195550 1455940 1819925 2391100 2911880 3639850 4782200 7279700 14559400 1740649067 3481298134 6962596268 8703245335 13925192536 17406490670 34812981340 43516226675 69625962680 87032453350 174064906700 348129813400