Search a number
-
+
30344940 = 22325263641
BaseRepresentation
bin111001111000…
…0011011101100
32010002200102200
41303300123230
530232014230
63002221500
7515633133
oct163603354
963080380
1030344940
111614666a
12a1b4890
136395cb2
14405c91a
1529e6160
hex1cf06ec

30344940 has 72 divisors (see below), whose sum is σ = 92540448. Its totient is φ = 8048640.

The previous prime is 30344929. The next prime is 30344953. The reversal of 30344940 is 4944303.

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, 47020 + ... + 47660.

It is an arithmetic number, because the mean of its divisors is an integer number (1285284).

Almost surely, 230344940 is an apocalyptic number.

30344940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30344940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46270224).

30344940 is an abundant number, since it is smaller than the sum of its proper divisors (62195508).

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

30344940 is a wasteful number, since it uses less digits than its factorization.

30344940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30344940 is about 5508.6241476434. The cubic root of 30344940 is about 311.9096138572.

The spelling of 30344940 in words is "thirty million, three hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 641 789 1052 1282 1315 1578 1923 2367 2564 2630 3156 3205 3846 3945 4734 5260 5769 6410 7692 7890 9468 9615 11538 11835 12820 15780 19230 23076 23670 28845 38460 47340 57690 115380 168583 337166 505749 674332 842915 1011498 1517247 1685830 2022996 2528745 3034494 3371660 5057490 6068988 7586235 10114980 15172470 30344940