Search a number
-
+
3114001000 = 2353111312161
BaseRepresentation
bin1011100110011011…
…1110001001101000
322001000112122022101
42321212332021220
522334141013000
61232555503144
7140111400055
oct27146761150
98030478271
103114001000
111358855050
1272aa57ab4
133a81baa56
1421780002c
151335b1e6a
hexb99be268

3114001000 has 128 divisors (see below), whose sum is σ = 8013582720. Its totient is φ = 1123200000.

The previous prime is 3114000979. The next prime is 3114001019. The reversal of 3114001000 is 1004113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 1439920 + ... + 1442080.

It is an arithmetic number, because the mean of its divisors is an integer number (62606115).

Almost surely, 23114001000 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 3114001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006791360).

3114001000 is an abundant number, since it is smaller than the sum of its proper divisors (4899581720).

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

3114001000 is a wasteful number, since it uses less digits than its factorization.

3114001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3114001000 is about 55803.2346732696. The cubic root of 3114001000 is about 1460.2915849721.

Adding to 3114001000 its reverse (1004113), we get a palindrome (3115005113).

The spelling of 3114001000 in words is "three billion, one hundred fourteen million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2161 2200 2620 2750 2882 3275 4322 5240 5500 5764 6550 7205 8644 10805 11000 11528 13100 14410 16375 17288 21610 23771 26200 28820 32750 36025 43220 47542 54025 57640 65500 72050 86440 95084 108050 118855 131000 144100 180125 190168 216100 237710 270125 283091 288200 360250 432200 475420 540250 566182 594275 720500 950840 1080500 1132364 1188550 1415455 1441000 2161000 2264728 2377100 2830910 2971375 3114001 4754200 5661820 5942750 6228002 7077275 11323640 11885500 12456004 14154550 15570005 23771000 24912008 28309100 31140010 35386375 56618200 62280020 70772750 77850025 124560040 141545500 155700050 283091000 311400100 389250125 622800200 778500250 1557000500 3114001000