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3073440 = 253519337
BaseRepresentation
bin1011101110010110100000
312210010222010
423232112200
51241322230
6145512520
735060316
oct13562640
95703863
103073440
11180a137
121042740
13837c06
145a00b6
1540a9b0
hex2ee5a0

3073440 has 96 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 774144.

The previous prime is 3073393. The next prime is 3073451. The reversal of 3073440 is 443703.

3073440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8952 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

Almost surely, 23073440 is an apocalyptic number.

3073440 is a gapful number since it is divisible by the number (30) 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 3073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3073440 is an abundant number, since it is smaller than the sum of its proper divisors (7147680).

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

3073440 is a wasteful number, since it uses less digits than its factorization.

3073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3073440 is about 1753.1229278063. The cubic root of 3073440 is about 145.3923578858.

The spelling of 3073440 in words is "three million, seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 337 380 456 480 570 608 674 760 912 1011 1140 1348 1520 1685 1824 2022 2280 2696 3040 3370 4044 4560 5055 5392 6403 6740 8088 9120 10110 10784 12806 13480 16176 19209 20220 25612 26960 32015 32352 38418 40440 51224 53920 64030 76836 80880 96045 102448 128060 153672 161760 192090 204896 256120 307344 384180 512240 614688 768360 1024480 1536720 3073440