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2073312 = 253223313
BaseRepresentation
bin111111010001011100000
310220100001100
413322023200
51012321222
6112234400
723423433
oct7721340
93810040
102073312
11119678a
1283ba00
13577917
143bd81a
152ae4ac
hex1fa2e0

2073312 has 72 divisors (see below), whose sum is σ = 6171984. Its totient is φ = 658944.

The previous prime is 2073293. The next prime is 2073317. The reversal of 2073312 is 2133702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6468 + ... + 6780.

It is an arithmetic number, because the mean of its divisors is an integer number (85722).

22073312 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 2073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085992).

2073312 is an abundant number, since it is smaller than the sum of its proper divisors (4098672).

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

2073312 is a wasteful number, since it uses less digits than its factorization.

2073312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2073312 is about 1439.8999965275. The cubic root of 2073312 is about 127.5131243699.

It can be divided in two parts, 207 and 3312, that multiplied together give a square (685584 = 8282).

The spelling of 2073312 in words is "two million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 313 368 414 552 626 736 828 939 1104 1252 1656 1878 2208 2504 2817 3312 3756 5008 5634 6624 7199 7512 10016 11268 14398 15024 21597 22536 28796 30048 43194 45072 57592 64791 86388 90144 115184 129582 172776 230368 259164 345552 518328 691104 1036656 2073312