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341134034340 = 2235112198592879
BaseRepresentation
bin1001111011011010010…
…11000100010110100100
31012121112012212110220110
410331231023010112210
521042120303044330
6420414222133020
733434422306611
oct4755513042644
91177465773813
10341134034340
111217462a6100
1256145121170
1326226b1a1b8
141272218b508
158d18a00db0
hex4f6d2c45a4

341134034340 has 288 divisors, whose sum is σ = 1106832384000. Its totient is φ = 78228184320.

The previous prime is 341134034323. The next prime is 341134034357. The reversal of 341134034340 is 43430431143.

It is an interprime number because it is at equal distance from previous prime (341134034323) and next prime (341134034357).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341134034298 and 341134034307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118489021 + ... + 118491899.

It is an arithmetic number, because the mean of its divisors is an integer number (3843168000).

Almost surely, 2341134034340 is an apocalyptic number.

341134034340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341134034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553416192000).

341134034340 is an abundant number, since it is smaller than the sum of its proper divisors (765698349660).

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

341134034340 is a wasteful number, since it uses less digits than its factorization.

341134034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 341134034340 its reverse (43430431143), we get a palindrome (384564465483).

The spelling of 341134034340 in words is "three hundred forty-one billion, one hundred thirty-four million, thirty-four thousand, three hundred forty".