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30414150 = 23352131733
BaseRepresentation
bin111010000000…
…1010101000110
32010020012101000
41310001111012
530241223100
63003514130
7516341664
oct164012506
963205330
1030414150
1116193668
12a228946
1363bb650
144079c34
152a0b900
hex1d01546

30414150 has 96 divisors (see below), whose sum is σ = 90306720. Its totient is φ = 7482240.

The previous prime is 30414143. The next prime is 30414157. The reversal of 30414150 is 5141403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30414143) and next prime (30414157).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30414157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16684 + ... + 18416.

It is an arithmetic number, because the mean of its divisors is an integer number (940695).

Almost surely, 230414150 is an apocalyptic number.

30414150 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 30414150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45153360).

30414150 is an abundant number, since it is smaller than the sum of its proper divisors (59892570).

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

30414150 is a wasteful number, since it uses less digits than its factorization.

30414150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30414150 is about 5514.9025376701. The cubic root of 30414150 is about 312.1465657536.

Adding to 30414150 its reverse (5141403), we get a palindrome (35555553).

The spelling of 30414150 in words is "thirty million, four hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1733 1755 1950 2925 3466 3510 5199 5850 8665 8775 10398 15597 17330 17550 22529 25995 31194 43325 45058 46791 51990 67587 77985 86650 93582 112645 129975 135174 155970 202761 225290 233955 259950 337935 389925 405522 467910 563225 608283 675870 779850 1013805 1126450 1169775 1216566 1689675 2027610 2339550 3041415 3379350 5069025 6082830 10138050 15207075 30414150