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321244140 = 223571794273
BaseRepresentation
bin10011001001011…
…100101111101100
3211101110220010010
4103021130233230
51124214303030
651513213220
710650346560
oct2311345754
9741426103
10321244140
11155374528
128b701210
13517285b9
14309436a0
151d3086b0
hex1325cbec

321244140 has 96 divisors (see below), whose sum is σ = 1033966080. Its totient is φ = 72999936.

The previous prime is 321244139. The next prime is 321244159. The reversal of 321244140 is 41442123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73044 + ... + 77316.

It is an arithmetic number, because the mean of its divisors is an integer number (10770480).

Almost surely, 2321244140 is an apocalyptic number.

321244140 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 321244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516983040).

321244140 is an abundant number, since it is smaller than the sum of its proper divisors (712721940).

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

321244140 is a wasteful number, since it uses less digits than its factorization.

321244140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 321244140 is about 17923.2848551821. The cubic root of 321244140 is about 684.8756696224.

Adding to 321244140 its reverse (41442123), we get a palindrome (362686263).

It can be divided in two parts, 321 and 244140, that multiplied together give a triangular number (78368940 = T12519).

The spelling of 321244140 in words is "three hundred twenty-one million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2148 2506 2685 3580 3759 4273 5012 5370 6265 7518 8546 10740 12530 12819 15036 17092 18795 21365 25060 25638 29911 37590 42730 51276 59822 64095 75180 85460 89733 119644 128190 149555 179466 256380 299110 358932 448665 598220 764867 897330 1529734 1794660 2294601 3059468 3824335 4589202 5354069 7648670 9178404 10708138 11473005 15297340 16062207 21416276 22946010 26770345 32124414 45892020 53540690 64248828 80311035 107081380 160622070 321244140