Search a number
-
+
1342714880 = 21051320173
BaseRepresentation
bin101000000001000…
…0011010000000000
310110120112222112202
41100002003100000
510222213334010
6341123012332
745162613433
oct12002032000
93416488482
101342714880
11629a22621
1231580a0a8
13185242460
14ca47d81a
157cd2b6a5
hex50083400

1342714880 has 88 divisors (see below), whose sum is σ = 3468878952. Its totient is φ = 495747072.

The previous prime is 1342714853. The next prime is 1342714897. The reversal of 1342714880 is 884172431.

It can be written as a sum of positive squares in 4 ways, for example, as 306390016 + 1036324864 = 17504^2 + 32192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56474 + ... + 76646.

It is an arithmetic number, because the mean of its divisors is an integer number (39419079).

Almost surely, 21342714880 is an apocalyptic number.

1342714880 is a gapful number since it is divisible by the number (10) 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 1342714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734439476).

1342714880 is an abundant number, since it is smaller than the sum of its proper divisors (2126164072).

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

1342714880 is a wasteful number, since it uses less digits than its factorization.

1342714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211 (or 20193 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1342714880 is about 36643.0741068486. The cubic root of 1342714880 is about 1103.2178174461.

The spelling of 1342714880 in words is "one billion, three hundred forty-two million, seven hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2560 3328 4160 5120 6656 8320 13312 16640 20173 33280 40346 66560 80692 100865 161384 201730 262249 322768 403460 524498 645536 806920 1048996 1291072 1311245 1613840 2097992 2582144 2622490 3227680 4195984 5164288 5244980 6455360 8391968 10328576 10489960 12910720 16783936 20657152 20979920 25821440 33567872 41959840 51642880 67135744 83919680 103285760 134271488 167839360 268542976 335678720 671357440 1342714880