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1343620720 = 245131997701
BaseRepresentation
bin101000000010110…
…0000011001110000
310110122021000010101
41100011200121300
510222431330340
6341154242144
745203405401
oct12005403160
93418230111
101343620720
1162a491152
12315b86354
1318549b860
14ca6379a8
157ce59c9a
hex50160670

1343620720 has 160 divisors (see below), whose sum is σ = 3582895680. Its totient is φ = 464486400.

The previous prime is 1343620661. The next prime is 1343620753. The reversal of 1343620720 is 270263431.

It is a super-3 number, since 3×13436207203 (a number of 28 digits) contains 333 as substring.

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, 1916370 + ... + 1917070.

It is an arithmetic number, because the mean of its divisors is an integer number (22393098).

Almost surely, 21343620720 is an apocalyptic number.

1343620720 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 1343620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

1343620720 is an abundant number, since it is smaller than the sum of its proper divisors (2239274960).

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

1343620720 is a wasteful number, since it uses less digits than its factorization.

1343620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 1343620720 is about 36655.4323395592. The cubic root of 1343620720 is about 1103.4658507896.

The spelling of 1343620720 in words is "one billion, three hundred forty-three million, six hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 97 104 130 152 190 194 208 247 260 304 380 388 485 494 520 701 760 776 970 988 1040 1235 1261 1402 1520 1552 1843 1940 1976 2470 2522 2804 3505 3686 3880 3952 4940 5044 5608 6305 7010 7372 7760 9113 9215 9880 10088 11216 12610 13319 14020 14744 18226 18430 19760 20176 23959 25220 26638 28040 29488 36452 36860 45565 47918 50440 53276 56080 66595 67997 72904 73720 91130 95836 100880 106552 119795 133190 135994 145808 147440 173147 182260 191672 213104 239590 266380 271988 339985 346294 364520 383344 479180 532760 543976 679970 692588 729040 865735 883961 958360 1065520 1087952 1291943 1359940 1385176 1731470 1767922 1916720 2583886 2719880 2770352 3462940 3535844 4419805 5167772 5439760 6459715 6925880 7071688 8839610 10335544 12919430 13851760 14143376 16795259 17679220 20671088 25838860 33590518 35358440 51677720 67181036 70716880 83976295 103355440 134362072 167952590 268724144 335905180 671810360 1343620720