[go: up one dir, main page]

Search a number
-
+
3114232032 = 253471674133
BaseRepresentation
bin1011100110011111…
…0110100011100000
322001000222101020010
42321213312203200
522334220411112
61233004444520
7140113351452
oct27147664340
98030871203
103114232032
1113589a268a
1272ab49740
133a826bc62
142178602d2
1513360a63c
hexb99f68e0

3114232032 has 96 divisors (see below), whose sum is σ = 8400817152. Its totient is φ = 1009662464.

The previous prime is 3114231983. The next prime is 3114232067. The reversal of 3114232032 is 2302324113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31142320322 = 19396882298269698048, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751438 + ... + 755570.

It is an arithmetic number, because the mean of its divisors is an integer number (87508512).

Almost surely, 23114232032 is an apocalyptic number.

3114232032 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 3114232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200408576).

3114232032 is an abundant number, since it is smaller than the sum of its proper divisors (5286585120).

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

3114232032 is a wasteful number, since it uses less digits than its factorization.

3114232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3114232032 is about 55805.3046940880. The cubic root of 3114232032 is about 1460.3276977568.

Adding to 3114232032 its reverse (2302324113), we get a palindrome (5416556145).

The spelling of 3114232032 in words is "three billion, one hundred fourteen million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 167 188 282 334 376 501 564 668 752 1002 1128 1336 1504 2004 2256 2672 4008 4133 4512 5344 7849 8016 8266 12399 15698 16032 16532 23547 24798 31396 33064 47094 49596 62792 66128 94188 99192 125584 132256 188376 194251 198384 251168 376752 388502 396768 582753 690211 753504 777004 1165506 1380422 1554008 2070633 2331012 2760844 3108016 4141266 4662024 5521688 6216032 8282532 9324048 11043376 16565064 18648096 22086752 32439917 33130128 64879834 66260256 97319751 129759668 194639502 259519336 389279004 519038672 778558008 1038077344 1557116016 3114232032