Search a number
-
+
306231840 = 2534523629
BaseRepresentation
bin10010010000001…
…011101000100000
3210100020012010000
4102100023220200
51111343404330
650215340000
710405633125
oct2220135040
9710205100
10306231840
11147950572
1286681600
134b5a0495
142c95674c
151bd40560
hex1240ba20

306231840 has 120 divisors (see below), whose sum is σ = 1080788940. Its totient is φ = 81658368.

The previous prime is 306231839. The next prime is 306231841. The reversal of 306231840 is 48132603.

It is a happy number.

306231840 is a `hidden beast` number, since 30 + 623 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (306231839) and next prime (306231841).

It can be written as a sum of positive squares in 2 ways, for example, as 258952464 + 47279376 = 16092^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (306231841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1146 + ... + 24774.

Almost surely, 2306231840 is an apocalyptic number.

306231840 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 306231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540394470).

306231840 is an abundant number, since it is smaller than the sum of its proper divisors (774557100).

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

306231840 is a wasteful number, since it uses less digits than its factorization.

306231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306231840 is about 17499.4811351651. The cubic root of 306231840 is about 674.0365514199.

The spelling of 306231840 in words is "three hundred six million, two hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 23629 47258 70887 94516 118145 141774 189032 212661 236290 283548 354435 378064 425322 472580 567096 637983 708870 756128 850644 945160 1063305 1134192 1275966 1417740 1701288 1890320 1913949 2126610 2268384 2551932 2835480 3189915 3402576 3780640 3827898 4253220 5103864 5670960 6379830 6805152 7655796 8506440 9569745 10207728 11341920 12759660 15311592 17012880 19139490 20415456 25519320 30623184 34025760 38278980 51038640 61246368 76557960 102077280 153115920 306231840