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3040861356 = 22321331320759
BaseRepresentation
bin1011010100111111…
…1101110010101100
321211220220202120200
42311033331302230
522211430030411
61221424113500
7135232616001
oct26517756254
97756822520
103040861356
11132053a165
1270a465890
13395cc0160
1420bc018a8
1512be65e56
hexb53fdcac

3040861356 has 72 divisors (see below), whose sum is σ = 8304747360. Its totient is φ = 932615424.

The previous prime is 3040861339. The next prime is 3040861367. The reversal of 3040861356 is 6531680403.

3040861356 is a `hidden beast` number, since 30 + 4 + 0 + 8 + 613 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3040861356.

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, 136105 + ... + 156863.

Almost surely, 23040861356 is an apocalyptic number.

3040861356 is a gapful number since it is divisible by the number (36) 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 3040861356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152373680).

3040861356 is an abundant number, since it is smaller than the sum of its proper divisors (5263886004).

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

3040861356 is a wasteful number, since it uses less digits than its factorization.

3040861356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21095 (or 21090 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3040861356 is about 55144.0056216449. The cubic root of 3040861356 is about 1448.7680945459.

The spelling of 3040861356 in words is "three billion, forty million, eight hundred sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 313 468 626 939 1252 1878 2817 3756 4069 5634 8138 11268 12207 16276 20759 24414 36621 41518 48828 62277 73242 83036 124554 146484 186831 249108 269867 373662 539734 747324 809601 1079468 1619202 2428803 3238404 4857606 6497567 9715212 12995134 19492701 25990268 38985402 58478103 77970804 84468371 116956206 168936742 233912412 253405113 337873484 506810226 760215339 1013620452 1520430678 3040861356