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343034570550 = 2352717613111013
BaseRepresentation
bin1001111110111100111…
…01000010011100110110
31012210102200001201110110
410333132131002130312
521110013322224200
6421330553203450
733532500511530
oct4773635023466
91183380051413
10343034570550
11122531088091
1256595700586
132646a7aab39
1412862754850
158dca7b7b50
hex4fde742736

343034570550 has 384 divisors, whose sum is σ = 1050726463488. Its totient is φ = 72281088000.

The previous prime is 343034570519. The next prime is 343034570561. The reversal of 343034570550 is 55075430343.

It is a junction number, because it is equal to n+sod(n) for n = 343034570499 and 343034570508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338631844 + ... + 338632856.

It is an arithmetic number, because the mean of its divisors is an integer number (2736266832).

Almost surely, 2343034570550 is an apocalyptic number.

343034570550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343034570550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525363231744).

343034570550 is an abundant number, since it is smaller than the sum of its proper divisors (707691892938).

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

343034570550 is a wasteful number, since it uses less digits than its factorization.

343034570550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 39.

The spelling of 343034570550 in words is "three hundred forty-three billion, thirty-four million, five hundred seventy thousand, five hundred fifty".