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9341411940 = 223357217191093
BaseRepresentation
bin10001011001100101…
…01010001001100100
3220010000111220011000
420230302222021210
5123112400140230
64142534513300
7450326456100
oct105462521144
926100456130
109341411940
113a63a90063
121988505830
13b5b41a4b3
146488c8900
1539a16ab60
hex22ccaa264

9341411940 has 576 divisors, whose sum is σ = 37714118400. Its totient is φ = 1902071808.

The previous prime is 9341411917. The next prime is 9341411971. The reversal of 9341411940 is 491141439.

9341411940 is a `hidden beast` number, since 93 + 414 + 119 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9341411895 and 9341411904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546034 + ... + 8547126.

It is an arithmetic number, because the mean of its divisors is an integer number (65475900).

Almost surely, 29341411940 is an apocalyptic number.

9341411940 is a gapful number since it is divisible by the number (90) 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 9341411940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857059200).

9341411940 is an abundant number, since it is smaller than the sum of its proper divisors (28372706460).

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

9341411940 is a wasteful number, since it uses less digits than its factorization.

9341411940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9341411940 is about 96650.9800260711. The cubic root of 9341411940 is about 2106.0604929012.

The spelling of 9341411940 in words is "nine billion, three hundred forty-one million, four hundred eleven thousand, nine hundred forty".