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1340101530 = 233514933311
BaseRepresentation
bin100111111100000…
…0101001110011010
310110101122012201000
41033320011032122
510221031222110
6340551005430
745131450355
oct11770051632
93411565630
101340101530
116284a8129
12314969876
13184838ab1
14c9d9d29c
157c9b21c0
hex4fe0539a

1340101530 has 64 divisors (see below), whose sum is σ = 3597696000. Its totient is φ = 354951360.

The previous prime is 1340101507. The next prime is 1340101561. The reversal of 1340101530 is 351010431.

1340101530 is a `hidden beast` number, since 1 + 34 + 0 + 101 + 530 = 666.

1340101530 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13401015302 = 3591744221416681800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 23575 + ... + 56885.

It is an arithmetic number, because the mean of its divisors is an integer number (56214000).

Almost surely, 21340101530 is an apocalyptic number.

1340101530 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 1340101530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798848000).

1340101530 is an abundant number, since it is smaller than the sum of its proper divisors (2257594470).

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

1340101530 is a wasteful number, since it uses less digits than its factorization.

1340101530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33476 (or 33470 counting only the distinct ones).

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

The square root of 1340101530 is about 36607.3972032976. The cubic root of 1340101530 is about 1102.5016150654.

Adding to 1340101530 its reverse (351010431), we get a palindrome (1691111961).

The spelling of 1340101530 in words is "one billion, three hundred forty million, one hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 4023 4470 6705 8046 13410 20115 33311 40230 66622 99933 166555 199866 299799 333110 499665 599598 899397 999330 1498995 1798794 2997990 4496985 4963339 8993970 9926678 14890017 24816695 29780034 44670051 49633390 74450085 89340102 134010153 148900170 223350255 268020306 446700510 670050765 1340101530