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2974320 = 2437517
BaseRepresentation
bin1011010110001001110000
312121010000000
423112021300
51230134240
6143430000
734165326
oct13261160
95533000
102974320
111751718
12bb5300
13801a6b
14575d16
153db430
hex2d6270

2974320 has 160 divisors (see below), whose sum is σ = 10981440. Its totient is φ = 746496.

The previous prime is 2974297. The next prime is 2974351. The reversal of 2974320 is 234792.

2974320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9 and base 12.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174952 + ... + 174968.

It is an arithmetic number, because the mean of its divisors is an integer number (68634).

22974320 is an apocalyptic number.

2974320 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 2974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490720).

2974320 is an abundant number, since it is smaller than the sum of its proper divisors (8007120).

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

2974320 is an equidigital number, since it uses as much as digits as its factorization.

2974320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2974320 is about 1724.6216976485. The cubic root of 2974320 is about 143.8122553282.

The spelling of 2974320 in words is "two million, nine hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 81 85 90 102 108 120 135 136 144 153 162 170 180 204 216 240 243 255 270 272 306 324 340 360 405 408 432 459 486 510 540 612 648 680 720 729 765 810 816 918 972 1020 1080 1215 1224 1296 1360 1377 1458 1530 1620 1836 1944 2040 2160 2187 2295 2430 2448 2754 2916 3060 3240 3645 3672 3888 4080 4131 4374 4590 4860 5508 5832 6120 6480 6885 7290 7344 8262 8748 9180 9720 10935 11016 11664 12240 12393 13770 14580 16524 17496 18360 19440 20655 21870 22032 24786 27540 29160 33048 34992 36720 37179 41310 43740 49572 55080 58320 61965 66096 74358 82620 87480 99144 110160 123930 148716 165240 174960 185895 198288 247860 297432 330480 371790 495720 594864 743580 991440 1487160 2974320