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3371139072 = 2153272371
BaseRepresentation
bin1100100011101111…
…1000000000000000
322200221101121102200
43020323320000000
523401002422242
61314303113200
7146353131540
oct31073700000
98627347380
103371139072
11147aa13754
127a0ba2800
1341955c462
1423da17320
1514ae5604c
hexc8ef8000

3371139072 has 384 divisors, whose sum is σ = 11777425920. Its totient is φ = 908328960.

The previous prime is 3371139019. The next prime is 3371139073. The reversal of 3371139072 is 2709311733.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33711390722 = 22729157285530042368, 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 not an unprimeable number, because it can be changed into a prime (3371139073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47480797 + ... + 47480867.

It is an arithmetic number, because the mean of its divisors is an integer number (30670380).

Almost surely, 23371139072 is an apocalyptic number.

3371139072 is a gapful number since it is divisible by the number (32) 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 3371139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888712960).

3371139072 is an abundant number, since it is smaller than the sum of its proper divisors (8406286848).

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

3371139072 is an equidigital number, since it uses as much as digits as its factorization.

3371139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 3371139072 is about 58061.5111067564. The cubic root of 3371139072 is about 1499.4277924134.

The spelling of 3371139072 in words is "three billion, three hundred seventy-one million, one hundred thirty-nine thousand, seventy-two".