Search a number
-
+
9306414 = 23613491
BaseRepresentation
bin100011100000…
…000100101110
3122111211000000
4203200010232
54340301124
6531245130
7142050255
oct43400456
918454000
109306414
115287057
1231497a6
131c0ac70
14134379c
15c3c6c9
hex8e012e

9306414 has 56 divisors (see below), whose sum is σ = 22585752. Its totient is φ = 2857680.

The previous prime is 9306403. The next prime is 9306449. The reversal of 9306414 is 4146039.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18709 + ... + 19199.

It is an arithmetic number, because the mean of its divisors is an integer number (403317).

Almost surely, 29306414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9306414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292876).

9306414 is an abundant number, since it is smaller than the sum of its proper divisors (13279338).

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

9306414 is a wasteful number, since it uses less digits than its factorization.

9306414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9306414 is about 3050.6415718665. The cubic root of 9306414 is about 210.3427057294.

It can be divided in two parts, 9 and 306414, that multiplied together give a triangular number (2757726 = T2348).

The spelling of 9306414 in words is "nine million, three hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 491 702 729 982 1053 1458 1473 2106 2946 3159 4419 6318 6383 8838 9477 12766 13257 18954 19149 26514 38298 39771 57447 79542 114894 119313 172341 238626 344682 357939 517023 715878 1034046 1551069 3102138 4653207 9306414