Search a number
-
+
1395340668 = 22349534519
BaseRepresentation
bin101001100101011…
…0011010101111100
310121020120122120000
41103022303111330
510324201400133
6350242554300
746402125411
oct12312632574
93536518500
101395340668
116566a7107
1232b368990
13193109a87
14d345c108
1582774413
hex532b357c

1395340668 has 60 divisors (see below), whose sum is σ = 3652331760. Its totient is φ = 464522688.

The previous prime is 1395340663. The next prime is 1395340673. The reversal of 1395340668 is 8660435931.

1395340668 is a `hidden beast` number, since 139 + 53 + 406 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1395340663) and next prime (1395340673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395340663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 306513 + ... + 311031.

It is an arithmetic number, because the mean of its divisors is an integer number (60872196).

Almost surely, 21395340668 is an apocalyptic number.

1395340668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1395340668 is an abundant number, since it is smaller than the sum of its proper divisors (2256991092).

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

1395340668 is a wasteful number, since it uses less digits than its factorization.

1395340668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1395340668 is about 37354.2590342788. The cubic root of 1395340668 is about 1117.4465286788.

The spelling of 1395340668 in words is "one billion, three hundred ninety-five million, three hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 953 1906 2859 3812 4519 5718 8577 9038 11436 13557 17154 18076 25731 27114 34308 40671 51462 54228 77193 81342 102924 122013 154386 162684 244026 308772 366039 488052 732078 1464156 4306607 8613214 12919821 17226428 25839642 38759463 51679284 77518926 116278389 155037852 232556778 348835167 465113556 697670334 1395340668