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3114021400 = 235276013701
BaseRepresentation
bin1011100110011100…
…0011001000011000
322001000120200021221
42321213003020120
522334142141100
61233000141424
7140111513410
oct27147031030
98030520257
103114021400
111358869406
1272aa67874
133a81c7119
14217807640
151335b801a
hexb99c3218

3114021400 has 96 divisors (see below), whose sum is σ = 8290406880. Its totient is φ = 1065600000.

The previous prime is 3114021389. The next prime is 3114021409. The reversal of 3114021400 is 41204113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114021409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839550 + ... + 843250.

It is an arithmetic number, because the mean of its divisors is an integer number (86358405).

Almost surely, 23114021400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145203440).

3114021400 is an abundant number, since it is smaller than the sum of its proper divisors (5176385480).

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

3114021400 is a wasteful number, since it uses less digits than its factorization.

3114021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3114021400 is about 55803.4174580733. The cubic root of 3114021400 is about 1460.2947737833.

Adding to 3114021400 its reverse (41204113), we get a palindrome (3155225513).

The spelling of 3114021400 in words is "three billion, one hundred fourteen million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 601 700 1202 1400 2404 3005 3701 4207 4808 6010 7402 8414 12020 14804 15025 16828 18505 21035 24040 25907 29608 30050 33656 37010 42070 51814 60100 74020 84140 92525 103628 105175 120200 129535 148040 168280 185050 207256 210350 259070 370100 420700 518140 647675 740200 841400 1036280 1295350 2224301 2590700 4448602 5181400 8897204 11121505 15570107 17794408 22243010 31140214 44486020 55607525 62280428 77850535 88972040 111215050 124560856 155701070 222430100 311402140 389252675 444860200 622804280 778505350 1557010700 3114021400