[go: up one dir, main page]

Search a number
-
+
30443400 = 233252131301
BaseRepresentation
bin111010000100…
…0011110001000
32010021200111100
41310020132020
530243142100
63004301400
7516523161
oct164103610
963250440
1030443400
1116203639
12a241860
1363cba60
144086768
152a15400
hex1d08788

30443400 has 144 divisors (see below), whose sum is σ = 110188260. Its totient is φ = 7488000.

The previous prime is 30443389. The next prime is 30443411. The reversal of 30443400 is 434403.

It is an interprime number because it is at equal distance from previous prime (30443389) and next prime (30443411).

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 30272004 = 414^2 + 5502^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22750 + ... + 24050.

Almost surely, 230443400 is an apocalyptic number.

30443400 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 30443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094130).

30443400 is an abundant number, since it is smaller than the sum of its proper divisors (79744860).

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

30443400 is a wasteful number, since it uses less digits than its factorization.

30443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30443400 is about 5517.5538058092. The cubic root of 30443400 is about 312.2465999117.

Adding to 30443400 its reverse (434403), we get a palindrome (30877803).

The spelling of 30443400 in words is "thirty million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1301 1560 1800 1950 2340 2600 2602 2925 3900 3903 4680 5204 5850 6505 7800 7806 10408 11700 11709 13010 15612 16913 19515 23400 23418 26020 31224 32525 33826 39030 46836 50739 52040 58545 65050 67652 78060 84565 93672 97575 101478 117090 130100 135304 152217 156120 169130 195150 202956 234180 253695 260200 292725 304434 338260 390300 405912 422825 468360 507390 585450 608868 676520 761085 780600 845650 1014780 1170900 1217736 1268475 1522170 1691300 2029560 2341800 2536950 3044340 3382600 3805425 5073900 6088680 7610850 10147800 15221700 30443400