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3074042340 = 2235517291283
BaseRepresentation
bin1011011100111010…
…0010100111100100
321221020100112100000
42313032202213210
522243423323330
61225011221300
7136114633365
oct26716424744
97836315300
103074042340
111338242566
127195a7830
1339cb39c85
1421239bb6c
1512ed1c560
hexb73a29e4

3074042340 has 288 divisors, whose sum is σ = 10600087680. Its totient is φ = 744339456.

The previous prime is 3074042327. The next prime is 3074042353. The reversal of 3074042340 is 432404703.

It is an interprime number because it is at equal distance from previous prime (3074042327) and next prime (3074042353).

It is a super-2 number, since 2×30740423402 = 18899472616225351200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2395339 + ... + 2396621.

It is an arithmetic number, because the mean of its divisors is an integer number (36805860).

Almost surely, 23074042340 is an apocalyptic number.

3074042340 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 3074042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300043840).

3074042340 is an abundant number, since it is smaller than the sum of its proper divisors (7526045340).

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

3074042340 is a wasteful number, since it uses less digits than its factorization.

3074042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3074042340 is about 55444.0469302161. The cubic root of 3074042340 is about 1454.0185537751.

The spelling of 3074042340 in words is "three billion, seventy-four million, forty-two thousand, three hundred forty".