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2034466740 = 2233541432137
BaseRepresentation
bin111100101000011…
…0111111110110100
312020210012121201000
41321100313332310
513131310413430
6533513403300
7101262452625
oct17120677664
95223177630
102034466740
11954448a79
12489409530
13265654497
141542aba4c
15bd91ee60
hex79437fb4

2034466740 has 192 divisors, whose sum is σ = 6637720320. Its totient is φ = 516741120.

The previous prime is 2034466739. The next prime is 2034466757. The reversal of 2034466740 is 476644302.

2034466740 is a `hidden beast` number, since 203 + 446 + 6 + 7 + 4 + 0 = 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 = 2034466695 and 2034466704.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 950952 + ... + 953088.

It is an arithmetic number, because the mean of its divisors is an integer number (34571460).

Almost surely, 22034466740 is an apocalyptic number.

2034466740 is a gapful number since it is divisible by the number (20) 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 2034466740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318860160).

2034466740 is an abundant number, since it is smaller than the sum of its proper divisors (4603253580).

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

2034466740 is a wasteful number, since it uses less digits than its factorization.

2034466740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2034466740 is about 45105.0633521338. The cubic root of 2034466740 is about 1267.1174294439.

The spelling of 2034466740 in words is "two billion, thirty-four million, four hundred sixty-six thousand, seven hundred forty".