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30106332 = 22323153509
BaseRepresentation
bin111001011011…
…0001011011100
32002122120010100
41302312023130
530201400312
62553141100
7513620364
oct162661334
962576110
1030106332
1115aa3373
12a0ba790
1363114c9
143dd99a4
15299a5dc
hex1cb62dc

30106332 has 72 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 9509760.

The previous prime is 30106331. The next prime is 30106361. The reversal of 30106332 is 23360103.

It is a happy number.

30106332 is a `hidden beast` number, since 30 + 1 + 0 + 633 + 2 = 666.

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 (30106331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58894 + ... + 59402.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 230106332 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 30106332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

30106332 is an abundant number, since it is smaller than the sum of its proper divisors (50090148).

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

30106332 is a wasteful number, since it uses less digits than its factorization.

30106332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30106332 is about 5486.9237282835. The cubic root of 30106332 is about 311.0899268833.

Adding to 30106332 its reverse (23360103), we get a palindrome (53466435).

The spelling of 30106332 in words is "thirty million, one hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 509 558 636 954 1018 1116 1527 1643 1908 2036 3054 3286 4581 4929 6108 6572 9162 9858 14787 15779 18324 19716 26977 29574 31558 47337 53954 59148 63116 80931 94674 107908 142011 161862 189348 242793 284022 323724 485586 568044 836287 971172 1672574 2508861 3345148 5017722 7526583 10035444 15053166 30106332