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3072173940 = 223351123113199
BaseRepresentation
bin1011011100011101…
…1010011101110100
321221002211121101000
42313013122131310
522242434031230
61224503203300
7136063022223
oct26707323564
97832747330
103072173940
111337186830
12718a46530
1339c634704
14212032cba
1512ea9db60
hexb71da774

3072173940 has 384 divisors, whose sum is σ = 11031552000. Its totient is φ = 702535680.

The previous prime is 3072173861. The next prime is 3072173971. The reversal of 3072173940 is 493712703.

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 = 3072173895 and 3072173904.

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 127 ways as a sum of consecutive naturals, for example, 15437961 + ... + 15438159.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 23072173940 is an apocalyptic number.

3072173940 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 3072173940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776000).

3072173940 is an abundant number, since it is smaller than the sum of its proper divisors (7959378060).

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

3072173940 is a wasteful number, since it uses less digits than its factorization.

3072173940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3072173940 is about 55427.1949497717. The cubic root of 3072173940 is about 1453.7239103760.

The spelling of 3072173940 in words is "three billion, seventy-two million, one hundred seventy-three thousand, nine hundred forty".