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1340308980 = 2232550914629
BaseRepresentation
bin100111111100011…
…0111110111110100
310110102000202021100
41033320313313310
510221104341410
6340555250100
745133303233
oct11770676764
93412022240
101340308980
11628629a7a
12314a49930
131848ac34a
14ca014b1a
157ca038c0
hex4fe37df4

1340308980 has 72 divisors (see below), whose sum is σ = 4073869800. Its totient is φ = 356689152.

The previous prime is 1340308973. The next prime is 1340308999. The reversal of 1340308980 is 898030431.

1340308980 is a `hidden beast` number, since 1 + 340 + 308 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129686544 + 1210622436 = 11388^2 + 34794^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84306 + ... + 98934.

It is an arithmetic number, because the mean of its divisors is an integer number (56581525).

Almost surely, 21340308980 is an apocalyptic number.

1340308980 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 1340308980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036934900).

1340308980 is an abundant number, since it is smaller than the sum of its proper divisors (2733560820).

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

1340308980 is a wasteful number, since it uses less digits than its factorization.

1340308980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1340308980 is about 36610.2305373785. The cubic root of 1340308980 is about 1102.5585018396.

The spelling of 1340308980 in words is "one billion, three hundred forty million, three hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 14629 15270 18324 22905 29258 30540 43887 45810 58516 73145 87774 91620 131661 146290 175548 219435 263322 292580 438870 526644 658305 877740 1316610 2633220 7446161 14892322 22338483 29784644 37230805 44676966 67015449 74461610 89353932 111692415 134030898 148923220 223384830 268061796 335077245 446769660 670154490 1340308980