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2930016 = 253231327
BaseRepresentation
bin1011001011010101100000
312111212020010
423023111200
51222230031
6142444520
733622215
oct13132540
95455203
102930016
111721401
12b93740
137b784b
14563b0c
153cd246
hex2cb560

2930016 has 48 divisors (see below), whose sum is σ = 8031744. Its totient is φ = 933504.

The previous prime is 2930003. The next prime is 2930021. The reversal of 2930016 is 6100392.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2929974 and 2930001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

22930016 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 2930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015872).

2930016 is an abundant number, since it is smaller than the sum of its proper divisors (5101728).

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

2930016 is a wasteful number, since it uses less digits than its factorization.

2930016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2930016 is about 1711.7289505059. The cubic root of 2930016 is about 143.0946282242.

The spelling of 2930016 in words is "two million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1327 2208 2654 3981 5308 7962 10616 15924 21232 30521 31848 42464 61042 63696 91563 122084 127392 183126 244168 366252 488336 732504 976672 1465008 2930016