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31430000 = 24547449
BaseRepresentation
bin111011111100…
…1010101110000
32012010210212002
41313321111300
531021230000
63041353132
7531102440
oct167712560
965123762
1031430000
1116817908
12a6387a8
136685b44
144262120
152b5c8d5
hex1df9570

31430000 has 100 divisors (see below), whose sum is σ = 87159600. Its totient is φ = 10752000.

The previous prime is 31429999. The next prime is 31430011. The reversal of 31430000 is 3413.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69776 + ... + 70224.

It is an arithmetic number, because the mean of its divisors is an integer number (871596).

Almost surely, 231430000 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 31430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43579800).

31430000 is an abundant number, since it is smaller than the sum of its proper divisors (55729600).

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

31430000 is an equidigital number, since it uses as much as digits as its factorization.

31430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 31430000 is about 5606.2465161639. The cubic root of 31430000 is about 315.5838671359.

Adding to 31430000 its reverse (3413), we get a palindrome (31433413).

The spelling of 31430000 in words is "thirty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 449 500 560 625 700 875 898 1000 1250 1400 1750 1796 2000 2245 2500 2800 3143 3500 3592 4375 4490 5000 6286 7000 7184 8750 8980 10000 11225 12572 14000 15715 17500 17960 22450 25144 31430 35000 35920 44900 50288 56125 62860 70000 78575 89800 112250 125720 157150 179600 224500 251440 280625 314300 392875 449000 561250 628600 785750 898000 1122500 1257200 1571500 1964375 2245000 3143000 3928750 4490000 6286000 7857500 15715000 31430000