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3073480000 = 265476837
BaseRepresentation
bin1011011100110001…
…1001010101000000
321221012021221221121
42313030121111000
522243302330000
61224551202024
7136110102043
oct26714312500
97835257847
103073480000
111337999018
12719376314
1339c9a1026
14212292c5a
1512ec5ab1a
hexb7319540

3073480000 has 70 divisors (see below), whose sum is σ = 7621330706. Its totient is φ = 1229376000.

The previous prime is 3073479973. The next prime is 3073480009. The reversal of 3073480000 is 843703.

It can be written as a sum of positive squares in 5 ways, for example, as 1262807296 + 1810672704 = 35536^2 + 42552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3073480009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1582 + ... + 78418.

Almost surely, 23073480000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3073480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810665353).

3073480000 is an abundant number, since it is smaller than the sum of its proper divisors (4547850706).

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

3073480000 is an frugal number, since it uses more digits than its factorization.

3073480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76869 (or 76844 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3073480000 is about 55438.9754595086. The cubic root of 3073480000 is about 1453.9298863066.

The spelling of 3073480000 in words is "three billion, seventy-three million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 76837 153674 307348 384185 614696 768370 1229392 1536740 1920925 2458784 3073480 3841850 4917568 6146960 7683700 9604625 12293920 15367400 19209250 24587840 30734800 38418500 48023125 61469600 76837000 96046250 122939200 153674000 192092500 307348000 384185000 614696000 768370000 1536740000 3073480000