Search a number
-
+
3001403700 = 2233521278753
BaseRepresentation
bin1011001011100101…
…1100100100110100
321202011200002212000
42302321130210310
522121324404300
61213454255300
7134243340051
oct26271344464
97664602760
103001403700
11130023a029
126b91b7530
1338aa86429
14206890028
1512876ec00
hexb2e5c934

3001403700 has 144 divisors (see below), whose sum is σ = 9726044160. Its totient is φ = 793981440.

The previous prime is 3001403683. The next prime is 3001403887. The reversal of 3001403700 is 73041003.

3001403700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338524 + ... + 347276.

Almost surely, 23001403700 is an apocalyptic number.

3001403700 is a gapful number since it is divisible by the number (30) 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 3001403700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863022080).

3001403700 is an abundant number, since it is smaller than the sum of its proper divisors (6724640460).

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

3001403700 is a wasteful number, since it uses less digits than its factorization.

3001403700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8903 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3001403700 is about 54785.0682211860. The cubic root of 3001403700 is about 1442.4744780909.

Adding to 3001403700 its reverse (73041003), we get a palindrome (3074444703).

The spelling of 3001403700 in words is "three billion, one million, four hundred three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 127 135 150 180 225 254 270 300 381 450 508 540 635 675 762 900 1143 1270 1350 1524 1905 2286 2540 2700 3175 3429 3810 4572 5715 6350 6858 7620 8753 9525 11430 12700 13716 17145 17506 19050 22860 26259 28575 34290 35012 38100 43765 52518 57150 68580 78777 85725 87530 105036 114300 131295 157554 171450 175060 218825 236331 262590 315108 342900 393885 437650 472662 525180 656475 787770 875300 945324 1111631 1181655 1312950 1575540 1969425 2223262 2363310 2625900 3334893 3938850 4446524 4726620 5558155 5908275 6669786 7877700 10004679 11116310 11816550 13339572 16674465 20009358 22232620 23633100 27790775 30014037 33348930 40018716 50023395 55581550 60028074 66697860 83372325 100046790 111163100 120056148 150070185 166744650 200093580 250116975 300140370 333489300 500233950 600280740 750350925 1000467900 1500701850 3001403700