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2000352 = 25367311
BaseRepresentation
bin111101000010111100000
310202121222010
413220113200
51003002402
6110512520
723000634
oct7502740
93677863
102000352
111146992
12805740
13550653
143a0dc4
15297a6c
hex1e85e0

2000352 has 48 divisors (see below), whose sum is σ = 5346432. Its totient is φ = 654720.

The previous prime is 2000351. The next prime is 2000353. The reversal of 2000352 is 2530002.

It is an interprime number because it is at equal distance from previous prime (2000351) and next prime (2000353).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000351) 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, 6277 + ... + 6587.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22000352 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 2000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216).

2000352 is an abundant number, since it is smaller than the sum of its proper divisors (3346080).

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

2000352 is a wasteful number, since it uses less digits than its factorization.

2000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2000352 is about 1414.3380076912. The cubic root of 2000352 is about 125.9994960927. Note that the first 3 decimals are identical.

Adding to 2000352 its reverse (2530002), we get a palindrome (4530354).

The spelling of 2000352 in words is "two million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 311 402 536 622 804 933 1072 1244 1608 1866 2144 2488 3216 3732 4976 6432 7464 9952 14928 20837 29856 41674 62511 83348 125022 166696 250044 333392 500088 666784 1000176 2000352