Search a number
-
+
30909312 = 273273833
BaseRepresentation
bin111010111101…
…0001110000000
32011011100121100
41311322032000
530403044222
63022254400
7523503420
oct165721600
964140540
1030909312
11164a1695
12a427400
136532b45
144168480
152aa84ac
hex1d7a380

30909312 has 96 divisors (see below), whose sum is σ = 101677680. Its totient is φ = 8828928.

The previous prime is 30909301. The next prime is 30909323. The reversal of 30909312 is 21390903.

It is an interprime number because it is at equal distance from previous prime (30909301) and next prime (30909323).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6148 + ... + 9980.

Almost surely, 230909312 is an apocalyptic number.

30909312 is a gapful number since it is divisible by the number (32) 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 30909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50838840).

30909312 is an abundant number, since it is smaller than the sum of its proper divisors (70768368).

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

30909312 is a wasteful number, since it uses less digits than its factorization.

30909312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30909312 is about 5559.6143751163. The cubic root of 30909312 is about 313.8314375142.

The spelling of 30909312 in words is "thirty million, nine hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 3833 4032 7666 8064 11499 15332 22998 26831 30664 34497 45996 53662 61328 68994 80493 91992 107324 122656 137988 160986 183984 214648 241479 245312 275976 321972 367968 429296 482958 490624 551952 643944 735936 858592 965916 1103904 1287888 1471872 1717184 1931832 2207808 2575776 3434368 3863664 4415616 5151552 7727328 10303104 15454656 30909312