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3040514432 = 27831372089
BaseRepresentation
bin1011010100111010…
…1001000110000000
321211220021010200122
42311032221012000
522211332430212
61221412435412
7135226642364
oct26516510600
97756233618
103040514432
11132032254a
1270a318b68
13395bcb287
1420bb512a4
1512bde8272
hexb53a9180

3040514432 has 64 divisors (see below), whose sum is σ = 6177956400. Its totient is φ = 1490264064.

The previous prime is 3040514429. The next prime is 3040514443. The reversal of 3040514432 is 2344150403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30405144322 = 18489456022400565248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454444 + ... + 1456532.

Almost surely, 23040514432 is an apocalyptic number.

3040514432 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 3040514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088978200).

3040514432 is an abundant number, since it is smaller than the sum of its proper divisors (3137441968).

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

3040514432 is a wasteful number, since it uses less digits than its factorization.

3040514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3040514432 is about 55140.8599134979. The cubic root of 3040514432 is about 1448.7129970501.

Adding to 3040514432 its reverse (2344150403), we get a palindrome (5384664835).

The spelling of 3040514432 in words is "three billion, forty million, five hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 137 166 274 332 548 664 1096 1328 2089 2192 2656 4178 4384 5312 8356 8768 10624 11371 16712 17536 22742 33424 45484 66848 90968 133696 173387 181936 267392 286193 346774 363872 572386 693548 727744 1144772 1387096 1455488 2289544 2774192 4579088 5548384 9158176 11096768 18316352 22193536 23754019 36632704 47508038 95016076 190032152 380064304 760128608 1520257216 3040514432