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3374034048 = 273371131409
BaseRepresentation
bin1100100100011011…
…1010110010000000
322201010211200121000
43021012322302000
523402223042143
61314445132000
7146416546650
oct31106726200
98633750530
103374034048
1114816107a0
127a1b5a000
1341a034068
1424016c360
1514b328bd3
hexc91bac80

3374034048 has 512 divisors, whose sum is σ = 12847104000. Its totient is φ = 846028800.

The previous prime is 3374034023. The next prime is 3374034049. The reversal of 3374034048 is 8404304733.

It is a happy number.

It is a super-2 number, since 2×33740340482 = 22768211514126532608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3374034049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8249268 + ... + 8249676.

It is an arithmetic number, because the mean of its divisors is an integer number (25092000).

Almost surely, 23374034048 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 3374034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423552000).

3374034048 is an abundant number, since it is smaller than the sum of its proper divisors (9473069952).

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

3374034048 is a wasteful number, since it uses less digits than its factorization.

3374034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3374034048 is about 58086.4360070404. The cubic root of 3374034048 is about 1499.8568823453.

The spelling of 3374034048 in words is "three billion, three hundred seventy-four million, thirty-four thousand, forty-eight".