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2045340 = 22325111033
BaseRepresentation
bin111110011010110011100
310211220200100
413303112130
51010422330
6111501100
723246043
oct7632634
93756610
102045340
111177770
12827790
13567c7b
143b355a
152a6060
hex1f359c

2045340 has 72 divisors (see below), whose sum is σ = 6774768. Its totient is φ = 495360.

The previous prime is 2045339. The next prime is 2045347. The reversal of 2045340 is 435402.

It is a happy number.

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 (2045347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (94094).

22045340 is an apocalyptic number.

2045340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387384).

2045340 is an abundant number, since it is smaller than the sum of its proper divisors (4729428).

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

2045340 is a wasteful number, since it uses less digits than its factorization.

2045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2045340 is about 1430.1538378790. The cubic root of 2045340 is about 126.9370800401.

The spelling of 2045340 in words is "two million, forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1033 1980 2066 3099 4132 5165 6198 9297 10330 11363 12396 15495 18594 20660 22726 30990 34089 37188 45452 46485 56815 61980 68178 92970 102267 113630 136356 170445 185940 204534 227260 340890 409068 511335 681780 1022670 2045340