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3376000 = 2753211
BaseRepresentation
bin1100111000001110000000
320100112000001
430320032000
51331013000
6200205344
740460365
oct14701600
96315001
103376000
1119a6491
121169854
13912844
1463c46c
1546a46a
hex338380

3376000 has 64 divisors (see below), whose sum is σ = 8433360. Its totient is φ = 1344000.

The previous prime is 3375961. The next prime is 3376003. The reversal of 3376000 is 6733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33760002 = 22794752000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15895 + ... + 16105.

Almost surely, 23376000 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 3376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216680).

3376000 is an abundant number, since it is smaller than the sum of its proper divisors (5057360).

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

3376000 is an equidigital number, since it uses as much as digits as its factorization.

3376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 3376000 is about 1837.3894524569. The cubic root of 3376000 is about 150.0148133519.

The spelling of 3376000 in words is "three million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 211 250 320 400 422 500 640 800 844 1000 1055 1600 1688 2000 2110 3200 3376 4000 4220 5275 6752 8000 8440 10550 13504 16000 16880 21100 26375 27008 33760 42200 52750 67520 84400 105500 135040 168800 211000 337600 422000 675200 844000 1688000 3376000