Search a number
-
+
30441690 = 2335313637
BaseRepresentation
bin111010000100…
…0000011011010
32010021121011000
41310020003122
530243113230
63004245430
7516515166
oct164100332
963247130
1030441690
1116202324
12a240876
1363cb046
144085ca6
152a14b60
hex1d080da

30441690 has 64 divisors (see below), whose sum is σ = 83819520. Its totient is φ = 7853760.

The previous prime is 30441689. The next prime is 30441707. The reversal of 30441690 is 9614403.

It is a super-2 number, since 2×304416902 = 1853392980112200, which contains 22 as substring.

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

It is a congruent number.

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, 6552 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (1309680).

Almost surely, 230441690 is an apocalyptic number.

30441690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30441690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41909760).

30441690 is an abundant number, since it is smaller than the sum of its proper divisors (53377830).

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

30441690 is a wasteful number, since it uses less digits than its factorization.

30441690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30441690 is about 5517.3988436581. The cubic root of 30441690 is about 312.2407535249.

The spelling of 30441690 in words is "thirty million, four hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 3637 4185 7274 8370 10911 18185 21822 32733 36370 54555 65466 98199 109110 112747 163665 196398 225494 327330 338241 490995 563735 676482 981990 1014723 1127470 1691205 2029446 3044169 3382410 5073615 6088338 10147230 15220845 30441690