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1340315010 = 232537419817
BaseRepresentation
bin100111111100011…
…1001010110000010
310110102001001112200
41033320321112002
510221110040020
6340555334030
745133326636
oct11770712602
93412031480
101340315010
11628633561
12314a51316
131848b2008
14ca016dc6
157ca05590
hex4fe39582

1340315010 has 96 divisors (see below), whose sum is σ = 3666669552. Its totient is φ = 339240960.

The previous prime is 1340314981. The next prime is 1340315023. The reversal of 1340315010 is 105130431.

1340315010 is a `hidden beast` number, since 1 + 340 + 315 + 0 + 10 = 666.

1340315010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 963916209 + 376398801 = 31047^2 + 19401^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131622 + ... + 141438.

Almost surely, 21340315010 is an apocalyptic number.

1340315010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340315010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833334776).

1340315010 is an abundant number, since it is smaller than the sum of its proper divisors (2326354542).

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

1340315010 is a wasteful number, since it uses less digits than its factorization.

1340315010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1340315010 is about 36610.3128913152. The cubic root of 1340315010 is about 1102.5601552936.

Adding to 1340315010 its reverse (105130431), we get a palindrome (1445445441).

The spelling of 1340315010 in words is "one billion, three hundred forty million, three hundred fifteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 41 45 74 82 90 111 123 185 205 222 246 333 369 370 410 555 615 666 738 1110 1230 1517 1665 1845 3034 3330 3690 4551 7585 9102 9817 13653 15170 19634 22755 27306 29451 45510 49085 58902 68265 88353 98170 136530 147255 176706 294510 363229 402497 441765 726458 804994 883530 1089687 1207491 1816145 2012485 2179374 2414982 3269061 3622473 3632290 4024970 5448435 6037455 6538122 7244946 10896870 12074910 14892389 16345305 18112365 29784778 32690610 36224730 44677167 74461945 89354334 134031501 148923890 223385835 268063002 446771670 670157505 1340315010