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30748432 = 24111389151
BaseRepresentation
bin111010101001…
…0111100010000
32010212011220211
41311102330100
530332422212
63015013504
7522233401
oct165227420
963764824
1030748432
11163a1830
12a36a294
1364a7850
1441259a8
152a759a7
hex1d52f10

30748432 has 80 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 12672000.

The previous prime is 30748423. The next prime is 30748433. The reversal of 30748432 is 23484703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30748394 and 30748403.

It is not an unprimeable number, because it can be changed into a prime (30748433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203557 + ... + 203707.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 230748432 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 30748432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

30748432 is an abundant number, since it is smaller than the sum of its proper divisors (40497008).

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

30748432 is a wasteful number, since it uses less digits than its factorization.

30748432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 30748432 is about 5545.1268696036. The cubic root of 30748432 is about 313.2860026089.

The spelling of 30748432 in words is "thirty million, seven hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 143 151 176 178 208 286 302 356 572 604 712 979 1144 1157 1208 1424 1661 1958 1963 2288 2314 2416 3322 3916 3926 4628 6644 7832 7852 9256 12727 13288 13439 15664 15704 18512 21593 25454 26576 26878 31408 43186 50908 53756 86372 101816 107512 147829 172744 174707 203632 215024 295658 345488 349414 591316 698828 1182632 1397656 1921777 2365264 2795312 3843554 7687108 15374216 30748432