Search a number
-
+
3124104000 = 26353130171
BaseRepresentation
bin1011101000110110…
…0000101101000000
322001201112221000120
42322031200231000
522344232312000
61234000220240
7140263305633
oct27215405500
98051487016
103124104000
111363525636
1273230a680
133aa317464
14218cadc1a
1513440a6a0
hexba360b40

3124104000 has 112 divisors (see below), whose sum is σ = 10315870656. Its totient is φ = 833088000.

The previous prime is 3124103999. The next prime is 3124104001. The reversal of 3124104000 is 4014213.

It is an interprime number because it is at equal distance from previous prime (3124103999) and next prime (3124104001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124104001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41086 + ... + 89085.

It is an arithmetic number, because the mean of its divisors is an integer number (92105988).

Almost surely, 23124104000 is an apocalyptic number.

3124104000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3124104000 is an abundant number, since it is smaller than the sum of its proper divisors (7191766656).

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

3124104000 is a wasteful number, since it uses less digits than its factorization.

3124104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130201 (or 130181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3124104000 is about 55893.6847953326. The cubic root of 3124104000 is about 1461.8691266889.

Adding to 3124104000 its reverse (4014213), we get a palindrome (3128118213).

It can be divided in two parts, 312410 and 4000, that added together give a triangular number (316410 = T795).

The spelling of 3124104000 in words is "three billion, one hundred twenty-four million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 130171 260342 390513 520684 650855 781026 1041368 1301710 1562052 1952565 2082736 2603420 3124104 3254275 3905130 4165472 5206840 6248208 6508550 7810260 8330944 9762825 10413680 12496416 13017100 15620520 16271375 19525650 20827360 24992832 26034200 31241040 32542750 39051300 41654720 48814125 52068400 62482080 65085500 78102600 97628250 104136800 124964160 130171000 156205200 195256500 208273600 260342000 312410400 390513000 520684000 624820800 781026000 1041368000 1562052000 3124104000