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3040640352 = 253215767247
BaseRepresentation
bin1011010100111100…
…0111110101100000
321211220111112102100
42311033013311200
522211400442402
61221415250400
7135231005451
oct26517076540
97756445370
103040640352
1113203a9112
1270a379a00
13395c43699
1420bb85128
1512be2071c
hexb53c7d60

3040640352 has 72 divisors (see below), whose sum is σ = 8702025696. Its totient is φ = 1007076096.

The previous prime is 3040640333. The next prime is 3040640359. The reversal of 3040640352 is 2530460403.

3040640352 is a `hidden beast` number, since 304 + 0 + 6 + 4 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040640359) 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 11 ways as a sum of consecutive naturals, for example, 11593 + ... + 78839.

It is an arithmetic number, because the mean of its divisors is an integer number (120861468).

Almost surely, 23040640352 is an apocalyptic number.

3040640352 is a gapful number since it is divisible by the number (32) 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 3040640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351012848).

3040640352 is an abundant number, since it is smaller than the sum of its proper divisors (5661385344).

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

3040640352 is a wasteful number, since it uses less digits than its factorization.

3040640352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67420 (or 67409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3040640352 is about 55142.0017046897. The cubic root of 3040640352 is about 1448.7329957955.

The spelling of 3040640352 in words is "three billion, forty million, six hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 11304 15072 22608 45216 67247 134494 201741 268988 403482 537976 605223 806964 1075952 1210446 1613928 2151904 2420892 3227856 4841784 6455712 9683568 10557779 19367136 21115558 31673337 42231116 63346674 84462232 95020011 126693348 168924464 190040022 253386696 337848928 380080044 506773392 760160088 1013546784 1520320176 3040640352