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1340372320 = 25574725463
BaseRepresentation
bin100111111100100…
…0111010101100000
310110102010222011021
41033321013111200
510221113403240
6341000455224
745133656010
oct11771072540
93412128137
101340372320
11628672621
12314a7a514
13184902121
14ca02dc40
157ca1754a
hex4fe47560

1340372320 has 96 divisors (see below), whose sum is σ = 3696150528. Its totient is φ = 449760768.

The previous prime is 1340372303. The next prime is 1340372321. The reversal of 1340372320 is 232730431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340372321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39909 + ... + 65371.

It is an arithmetic number, because the mean of its divisors is an integer number (38501568).

Almost surely, 21340372320 is an apocalyptic number.

1340372320 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 1340372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848075264).

1340372320 is an abundant number, since it is smaller than the sum of its proper divisors (2355778208).

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

1340372320 is a wasteful number, since it uses less digits than its factorization.

1340372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25532 (or 25524 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 1340372320 is about 36611.0955859013. The cubic root of 1340372320 is about 1102.5758697143.

The spelling of 1340372320 in words is "one billion, three hundred forty million, three hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 25463 26320 50926 52640 101852 127315 178241 203704 254630 356482 407408 509260 712964 814816 891205 1018520 1196761 1425928 1782410 2037040 2393522 2851856 3564820 4074080 4787044 5703712 5983805 7129640 8377327 9574088 11967610 14259280 16754654 19148176 23935220 28518560 33509308 38296352 41886635 47870440 67018616 83773270 95740880 134037232 167546540 191481760 268074464 335093080 670186160 1340372320