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2634240 = 293573
BaseRepresentation
bin1010000011001000000000
311221211111110
422003020000
51133243430
6132243320
731251000
oct12031000
94854443
102634240
11153a164
12a70540
1371302b
144c8000
153707b0
hex283200

2634240 has 160 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 602112.

The previous prime is 2634227. The next prime is 2634241. The reversal of 2634240 is 424362.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376317 + ... + 376323.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

22634240 is an apocalyptic number.

2634240 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 2634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2634240 is an abundant number, since it is smaller than the sum of its proper divisors (7186560).

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

2634240 is an frugal number, since it uses more digits than its factorization.

2634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2634240 is about 1623.0341955732. The cubic root of 2634240 is about 138.1078761625.

The spelling of 2634240 in words is "two million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 343 384 392 420 448 480 490 512 560 588 640 672 686 735 768 784 840 896 960 980 1029 1120 1176 1280 1344 1372 1470 1536 1568 1680 1715 1792 1920 1960 2058 2240 2352 2560 2688 2744 2940 3136 3360 3430 3584 3840 3920 4116 4480 4704 5145 5376 5488 5880 6272 6720 6860 7680 7840 8232 8960 9408 10290 10752 10976 11760 12544 13440 13720 15680 16464 17920 18816 20580 21952 23520 25088 26880 27440 31360 32928 37632 41160 43904 47040 53760 54880 62720 65856 75264 82320 87808 94080 109760 125440 131712 164640 175616 188160 219520 263424 329280 376320 439040 526848 658560 878080 1317120 2634240