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3370271376 = 2431925114723
BaseRepresentation
bin1100100011100010…
…0100001010010000
322200212202112011210
43020320210022100
523400242141001
61314232340120
7146342556033
oct31070441220
98625675153
103370271376
11147a48084a
127a0844640
13419317524
1423d86d01a
1514ad33dd6
hexc8e24290

3370271376 has 80 divisors (see below), whose sum is σ = 9201911040. Its totient is φ = 1059984000.

The previous prime is 3370271339. The next prime is 3370271393. The reversal of 3370271376 is 6731720733.

It is a super-2 number, since 2×33702713762 = 22717458295769866752, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221551 + ... + 236273.

It is an arithmetic number, because the mean of its divisors is an integer number (115023888).

Almost surely, 23370271376 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 3370271376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600955520).

3370271376 is an abundant number, since it is smaller than the sum of its proper divisors (5831639664).

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

3370271376 is a wasteful number, since it uses less digits than its factorization.

3370271376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 39.

The square root of 3370271376 is about 58054.0384124998. The cubic root of 3370271376 is about 1499.2991356883.

The spelling of 3370271376 in words is "three billion, three hundred seventy million, two hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 251 304 456 502 753 912 1004 1506 2008 3012 4016 4769 6024 9538 12048 14307 14723 19076 28614 29446 38152 44169 57228 58892 76304 88338 114456 117784 176676 228912 235568 279737 353352 559474 706704 839211 1118948 1678422 2237896 3356844 3695473 4475792 6713688 7390946 11086419 13427376 14781892 22172838 29563784 44345676 59127568 70213987 88691352 140427974 177382704 210641961 280855948 421283922 561711896 842567844 1123423792 1685135688 3370271376