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1340693280 = 253251277331
BaseRepresentation
bin100111111101001…
…0101101100100000
310110102202021102200
41033322111230200
510221204141110
6341011413200
745136463523
oct11772255440
93412667380
101340693280
11628871783
12314bb4200
131849b5244
14ca0b4bba
157ca7c6c0
hex4fe95b20

1340693280 has 144 divisors (see below), whose sum is σ = 4611769344. Its totient is φ = 354654720.

The previous prime is 1340693267. The next prime is 1340693281. The reversal of 1340693280 is 823960431.

1340693280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1340693281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179215 + ... + 186545.

It is an arithmetic number, because the mean of its divisors is an integer number (32026176).

Almost surely, 21340693280 is an apocalyptic number.

1340693280 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 1340693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305884672).

1340693280 is an abundant number, since it is smaller than the sum of its proper divisors (3271076064).

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

1340693280 is a wasteful number, since it uses less digits than its factorization.

1340693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1340693280 is about 36615.4786941261. The cubic root of 1340693280 is about 1102.6638687733.

The spelling of 1340693280 in words is "one billion, three hundred forty million, six hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 288 360 381 480 508 635 720 762 1016 1143 1270 1440 1524 1905 2032 2286 2540 3048 3810 4064 4572 5080 5715 6096 7331 7620 9144 10160 11430 12192 14662 15240 18288 20320 21993 22860 29324 30480 36576 36655 43986 45720 58648 60960 65979 73310 87972 91440 109965 117296 131958 146620 175944 182880 219930 234592 263916 293240 329895 351888 439860 527832 586480 659790 703776 879720 931037 1055664 1172960 1319580 1759440 1862074 2111328 2639160 2793111 3518880 3724148 4655185 5278320 5586222 7448296 8379333 9310370 10556640 11172444 13965555 14896592 16758666 18620740 22344888 27931110 29793184 33517332 37241480 41896665 44689776 55862220 67034664 74482960 83793330 89379552 111724440 134069328 148965920 167586660 223448880 268138656 335173320 446897760 670346640 1340693280