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3074076240 = 243519167061
BaseRepresentation
bin1011011100111010…
…1010111001010000
321221020102020211120
42313032222321100
522243430414430
61225012042240
7136115134254
oct26716527120
97836366746
103074076240
111338265a84
12719603380
1339cb4c531
142123aa264
1512ed27610
hexb73aae50

3074076240 has 80 divisors (see below), whose sum is σ = 9579672576. Its totient is φ = 815449600.

The previous prime is 3074076211. The next prime is 3074076259. The reversal of 3074076240 is 426704703.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12310 + ... + 79370.

Almost surely, 23074076240 is an apocalyptic number.

3074076240 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 3074076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789836288).

3074076240 is an abundant number, since it is smaller than the sum of its proper divisors (6505596336).

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

3074076240 is a wasteful number, since it uses less digits than its factorization.

3074076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67268 (or 67262 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 3074076240 is about 55444.3526429879. The cubic root of 3074076240 is about 1454.0238986427.

The spelling of 3074076240 in words is "three billion, seventy-four million, seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 67061 134122 201183 268244 335305 402366 536488 670610 804732 1005915 1072976 1341220 1609464 2011830 2682440 3218928 4023660 5364880 8047320 12808651 16094640 25617302 38425953 51234604 64043255 76851906 102469208 128086510 153703812 192129765 204938416 256173020 307407624 384259530 512346040 614815248 768519060 1024692080 1537038120 3074076240