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3180074904 = 233512792
BaseRepresentation
bin1011110110001100…
…0001011110011000
322012121212112200000
42331203001132120
523003044344104
61243320013000
7141543122256
oct27543013630
98177775600
103180074904
111392084386
12749001160
133b8ab3536
142224bd5d6
151392b4639
hexbd8c1798

3180074904 has 72 divisors (see below), whose sum is σ = 8938680660. Its totient is φ = 1059196176.

The previous prime is 3180074873. The next prime is 3180074941. The reversal of 3180074904 is 4094700813.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3180074904 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31800749042 = 20225752790101218432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2485737 + ... + 2487015.

Almost surely, 23180074904 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 3180074904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469340330).

3180074904 is an abundant number, since it is smaller than the sum of its proper divisors (5758605756).

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

3180074904 is an frugal number, since it uses more digits than its factorization.

3180074904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3180074904 is about 56392.1528583543. The cubic root of 3180074904 is about 1470.5477009487.

The spelling of 3180074904 in words is "three billion, one hundred eighty million, seventy-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1279 1944 2558 3837 5116 7674 10232 11511 15348 23022 30696 34533 46044 69066 92088 103599 138132 207198 276264 310797 414396 621594 828792 1243188 1635841 2486376 3271682 4907523 6543364 9815046 13086728 14722569 19630092 29445138 39260184 44167707 58890276 88335414 117780552 132503121 176670828 265006242 353341656 397509363 530012484 795018726 1060024968 1590037452 3180074904