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30023440 = 245537397
BaseRepresentation
bin111001010000…
…1111100010000
32002111100102021
41302201330100
530141222230
62551301224
7513123616
oct162417420
962440367
1030023440
1115a47067
12a07a814
1362b2865
143db76b6
152980c7a
hex1ca1f10

30023440 has 80 divisors (see below), whose sum is σ = 72839088. Its totient is φ = 11501568.

The previous prime is 30023431. The next prime is 30023443. The reversal of 30023440 is 4432003.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 29942784 = 284^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30023443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309472 + ... + 309568.

Almost surely, 230023440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36419544).

30023440 is an abundant number, since it is smaller than the sum of its proper divisors (42815648).

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

30023440 is a wasteful number, since it uses less digits than its factorization.

30023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 30023440 is about 5479.3649267046. The cubic root of 30023440 is about 310.8041556721.

Adding to 30023440 its reverse (4432003), we get a palindrome (34455443).

The spelling of 30023440 in words is "thirty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 73 80 97 106 146 194 212 265 292 365 388 424 485 530 584 730 776 848 970 1060 1168 1460 1552 1940 2120 2920 3869 3880 4240 5141 5840 7081 7738 7760 10282 14162 15476 19345 20564 25705 28324 30952 35405 38690 41128 51410 56648 61904 70810 77380 82256 102820 113296 141620 154760 205640 283240 309520 375293 411280 566480 750586 1501172 1876465 3002344 3752930 6004688 7505860 15011720 30023440