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3374451072 = 273219236703
BaseRepresentation
bin1100100100100010…
…0000100110000000
322201011121212122100
43021020200212000
523402324413242
61314502110400
7146423234526
oct31110404600
98634555570
103374451072
111481876043
127a211b400
1341a14bb15
1424023a316
1514b3ac54c
hexc9220980

3374451072 has 192 divisors, whose sum is σ = 10667404800. Its totient is φ = 1019132928.

The previous prime is 3374451013. The next prime is 3374451137. The reversal of 3374451072 is 2701544733.

3374451072 is a `hidden beast` number, since 3 + 3 + 74 + 4 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33744510722 = 22773840074643898368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 500073 + ... + 506775.

It is an arithmetic number, because the mean of its divisors is an integer number (55559400).

Almost surely, 23374451072 is an apocalyptic number.

3374451072 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 3374451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333702400).

3374451072 is an abundant number, since it is smaller than the sum of its proper divisors (7292953728).

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

3374451072 is a wasteful number, since it uses less digits than its factorization.

3374451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3374451072 is about 58090.0255809894. The cubic root of 3374451072 is about 1499.9186729240.

The spelling of 3374451072 in words is "three billion, three hundred seventy-four million, four hundred fifty-one thousand, seventy-two".