Search a number
-
+
1480003350 = 235272613301
BaseRepresentation
bin101100000110111…
…0000111100010110
310211010212221220220
41120031300330112
511012340101400
6402505335210
751450551400
oct13015607426
93733787826
101480003350
1169a472471
12353797506
131a7810537
141007b9b70
1589de97a0
hex58370f16

1480003350 has 144 divisors (see below), whose sum is σ = 4340967696. Its totient is φ = 332640000.

The previous prime is 1480003321. The next prime is 1480003373. The reversal of 1480003350 is 533000841.

It is a super-2 number, since 2×14800033502 = 4380819832022445000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1480003350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 446700 + ... + 450000.

It is an arithmetic number, because the mean of its divisors is an integer number (30145609).

Almost surely, 21480003350 is an apocalyptic number.

1480003350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480003350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170483848).

1480003350 is an abundant number, since it is smaller than the sum of its proper divisors (2860964346).

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

1480003350 is a wasteful number, since it uses less digits than its factorization.

1480003350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1480003350 is about 38470.8116628698. The cubic root of 1480003350 is about 1139.6047028966.

The spelling of 1480003350 in words is "one billion, four hundred eighty million, three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 61 70 75 98 105 122 147 150 175 183 210 245 294 305 350 366 427 490 525 610 735 854 915 1050 1225 1281 1470 1525 1830 2135 2450 2562 2989 3050 3301 3675 4270 4575 5978 6405 6602 7350 8967 9150 9903 10675 12810 14945 16505 17934 19806 21350 23107 29890 32025 33010 44835 46214 49515 64050 69321 74725 82525 89670 99030 115535 138642 149450 161749 165050 201361 224175 231070 247575 323498 346605 402722 448350 485247 495150 577675 604083 693210 808745 970494 1006805 1155350 1208166 1409527 1617490 1733025 2013610 2426235 2819054 3020415 3466050 4043725 4228581 4852470 5034025 6040830 7047635 8087450 8457162 9866689 10068050 12131175 14095270 15102075 19733378 21142905 24262350 29600067 30204150 35238175 42285810 49333445 59200134 70476350 98666890 105714525 148000335 211429050 246667225 296000670 493334450 740001675 1480003350