Search a number
-
+
2744142340 = 2256189127199
BaseRepresentation
bin1010001110010000…
…0100101000000100
321002020120212121111
42203210010220010
521110000023330
61132144254404
7125000552662
oct24344045004
97066525544
102744142340
111188aa6835
12647011404
133496a0884
141c0643c32
15110da432a
hexa3904a04

2744142340 has 96 divisors (see below), whose sum is σ = 5999616000. Its totient is φ = 1053803520.

The previous prime is 2744142337. The next prime is 2744142353. The reversal of 2744142340 is 432414472.

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, 13789561 + ... + 13789759.

It is an arithmetic number, because the mean of its divisors is an integer number (62496000).

Almost surely, 22744142340 is an apocalyptic number.

2744142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2744142340 is an abundant number, since it is smaller than the sum of its proper divisors (3255473660).

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

2744142340 is a wasteful number, since it uses less digits than its factorization.

2744142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 2744142340 is about 52384.5620388297. The cubic root of 2744142340 is about 1400.0242070644.

The spelling of 2744142340 in words is "two billion, seven hundred forty-four million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 89 122 127 178 199 244 254 305 356 398 445 508 610 635 796 890 995 1220 1270 1780 1990 2540 3980 5429 7747 10858 11303 12139 15494 17711 21716 22606 24278 25273 27145 30988 35422 38735 45212 48556 50546 54290 56515 60695 70844 77470 88555 101092 108580 113030 121390 126365 154940 177110 226060 242780 252730 354220 505460 689483 1080371 1378966 1541653 2160742 2249297 2757932 3083306 3447415 4321484 4498594 5401855 6166612 6894830 7708265 8997188 10803710 11246485 13789660 15416530 21607420 22492970 30833060 44985940 137207117 274414234 548828468 686035585 1372071170 2744142340