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30441400 = 235211101137
BaseRepresentation
bin111010000011…
…1111110111000
32010021120202021
41310013332320
530243111100
63004244224
7516514303
oct164077670
963246667
1030441400
1116202090
12a240674
1363cab82
144085b3a
152a14a1a
hex1d07fb8

30441400 has 96 divisors (see below), whose sum is σ = 78544080. Its totient is φ = 10880000.

The previous prime is 30441371. The next prime is 30441419. The reversal of 30441400 is 414403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222132 + ... + 222268.

Almost surely, 230441400 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 30441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39272040).

30441400 is an abundant number, since it is smaller than the sum of its proper divisors (48102680).

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

30441400 is a wasteful number, since it uses less digits than its factorization.

30441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30441400 is about 5517.3725630956. The cubic root of 30441400 is about 312.2397620106.

Adding to 30441400 its reverse (414403), we get a palindrome (30855803).

It can be divided in two parts, 3044 and 1400, that added together give a palindrome (4444).

The spelling of 30441400 in words is "thirty million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 137 200 202 220 274 275 404 440 505 548 550 685 808 1010 1096 1100 1111 1370 1507 2020 2200 2222 2525 2740 3014 3425 4040 4444 5050 5480 5555 6028 6850 7535 8888 10100 11110 12056 13700 13837 15070 20200 22220 27400 27674 27775 30140 37675 44440 55348 55550 60280 69185 75350 110696 111100 138370 150700 152207 222200 276740 301400 304414 345925 553480 608828 691850 761035 1217656 1383700 1522070 2767400 3044140 3805175 6088280 7610350 15220700 30441400