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2375328 = 253109227
BaseRepresentation
bin1001000011111010100000
311110200100010
421003322200
51102002303
6122524520
726122104
oct11037240
94420303
102375328
11138268a
12966740
13652227
1445b904
1531dc03
hex243ea0

2375328 has 48 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 781056.

The previous prime is 2375327. The next prime is 2375339. The reversal of 2375328 is 8235732.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2375295 and 2375304.

It is not an unprimeable number, because it can be changed into a prime (2375327) 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, 10351 + ... + 10577.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

22375328 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 2375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2375328 is an abundant number, since it is smaller than the sum of its proper divisors (3944832).

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

2375328 is a wasteful number, since it uses less digits than its factorization.

2375328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2375328 is about 1541.2099143206. The cubic root of 2375328 is about 133.4262241586.

It can be divided in two parts, 237 and 5328, that added together give a triangular number (5565 = T105).

The spelling of 2375328 in words is "two million, three hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 227 327 436 454 654 681 872 908 1308 1362 1744 1816 2616 2724 3488 3632 5232 5448 7264 10464 10896 21792 24743 49486 74229 98972 148458 197944 296916 395888 593832 791776 1187664 2375328