Search a number
-
+
2348640 = 253257233
BaseRepresentation
bin1000111101011001100000
311102022201200
420331121200
51100124030
6122201200
725651230
oct10753140
94368650
102348640
111364628
12953200
13643038
14451cc0
15315d60
hex23d660

2348640 has 144 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 534528.

The previous prime is 2348627. The next prime is 2348693. The reversal of 2348640 is 468432.

2348640 = T85 + T86 + ... + T244.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23486402 = 11032219699200, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9964 + ... + 10196.

It is an arithmetic number, because the mean of its divisors is an integer number (63882).

22348640 is an apocalyptic number.

2348640 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 2348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

2348640 is an abundant number, since it is smaller than the sum of its proper divisors (6850368).

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

2348640 is a wasteful number, since it uses less digits than its factorization.

2348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2348640 is about 1532.5273243894. The cubic root of 2348640 is about 132.9246374263.

The spelling of 2348640 in words is "two million, three hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 233 240 252 280 288 315 336 360 420 466 480 504 560 630 672 699 720 840 932 1008 1120 1165 1260 1398 1440 1631 1680 1864 2016 2097 2330 2520 2796 3262 3360 3495 3728 4194 4660 4893 5040 5592 6524 6990 7456 8155 8388 9320 9786 10080 10485 11184 13048 13980 14679 16310 16776 18640 19572 20970 22368 24465 26096 27960 29358 32620 33552 37280 39144 41940 48930 52192 55920 58716 65240 67104 73395 78288 83880 97860 111840 117432 130480 146790 156576 167760 195720 234864 260960 293580 335520 391440 469728 587160 782880 1174320 2348640