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1340364880 = 245192413659
BaseRepresentation
bin100111111100100…
…0101100001010000
310110102010120221201
41033321011201100
510221113134010
6341000400544
745133625221
oct11771054120
93412116851
101340364880
11628667a78
12314a76154
131848cb91a
14ca02b248
157ca1523a
hex4fe45850

1340364880 has 80 divisors (see below), whose sum is σ = 3294878400. Its totient is φ = 505681920.

The previous prime is 1340364877. The next prime is 1340364919. The reversal of 1340364880 is 884630431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364491 + ... + 368149.

It is an arithmetic number, because the mean of its divisors is an integer number (41185980).

Almost surely, 21340364880 is an apocalyptic number.

1340364880 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 1340364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647439200).

1340364880 is an abundant number, since it is smaller than the sum of its proper divisors (1954513520).

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

1340364880 is a wasteful number, since it uses less digits than its factorization.

1340364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 1340364880 is about 36610.9939772195. The cubic root of 1340364880 is about 1102.5738296892.

The spelling of 1340364880 in words is "one billion, three hundred forty million, three hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 241 304 380 482 760 964 1205 1520 1928 2410 3659 3856 4579 4820 7318 9158 9640 14636 18295 18316 19280 22895 29272 36590 36632 45790 58544 69521 73180 73264 91580 139042 146360 183160 278084 292720 347605 366320 556168 695210 881819 1112336 1390420 1763638 2780840 3527276 4409095 5561680 7054552 8818190 14109104 16754561 17636380 33509122 35272760 67018244 70545520 83772805 134036488 167545610 268072976 335091220 670182440 1340364880