Search a number
-
+
2743103440 = 2457111014409
BaseRepresentation
bin1010001110000000…
…0110111111010000
321002011122002111201
42203200012333100
521104213302230
61132110120544
7124655665060
oct24340067720
97064562451
102743103440
111188457240
126467b0154
133493c8a3c
141c04533a0
15110c4b5ca
hexa3806fd0

2743103440 has 160 divisors (see below), whose sum is σ = 8031985920. Its totient is φ = 846336000.

The previous prime is 2743103431. The next prime is 2743103471. The reversal of 2743103440 is 443013472.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2743103399 and 2743103408.

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, 619956 + ... + 624364.

It is an arithmetic number, because the mean of its divisors is an integer number (50199912).

Almost surely, 22743103440 is an apocalyptic number.

2743103440 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 2743103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015992960).

2743103440 is an abundant number, since it is smaller than the sum of its proper divisors (5288882480).

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

2743103440 is a wasteful number, since it uses less digits than its factorization.

2743103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2743103440 is about 52374.6450107301. The cubic root of 2743103440 is about 1399.8475072001.

The spelling of 2743103440 in words is "two billion, seven hundred forty-three million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 140 154 176 202 220 280 308 385 404 440 505 560 616 707 770 808 880 1010 1111 1232 1414 1540 1616 2020 2222 2828 3080 3535 4040 4409 4444 5555 5656 6160 7070 7777 8080 8818 8888 11110 11312 14140 15554 17636 17776 22045 22220 28280 30863 31108 35272 38885 44090 44440 48499 56560 61726 62216 70544 77770 88180 88880 96998 123452 124432 154315 155540 176360 193996 242495 246904 308630 311080 339493 352720 387992 445309 484990 493808 617260 622160 678986 775984 890618 969980 1234520 1357972 1697465 1781236 1939960 2226545 2469040 2715944 3117163 3394930 3562472 3879920 4453090 4898399 5431888 6234326 6789860 7124944 8906180 9796798 12468652 13579720 15585815 17812360 19593596 24491995 24937304 27159440 31171630 34288793 35624720 39187192 48983990 49874608 62343260 68577586 78374384 97967980 124686520 137155172 171443965 195935960 249373040 274310344 342887930 391871920 548620688 685775860 1371551720 2743103440