Search a number
-
+
12349392 = 24311191231
BaseRepresentation
bin101111000110…
…111111010000
3212020102011220
4233012333100
511130140032
61120405040
7206653026
oct57067720
925212156
1012349392
116a75310
124176780
132735043
1418d6716
15113e12c
hexbc6fd0

12349392 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3542400.

The previous prime is 12349387. The next prime is 12349397. The reversal of 12349392 is 29394321.

It is an interprime number because it is at equal distance from previous prime (12349387) and next prime (12349397).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12349397) 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, 9417 + ... + 10647.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 212349392 is an apocalyptic number.

12349392 is a gapful number since it is divisible by the number (12) 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 12349392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

12349392 is an abundant number, since it is smaller than the sum of its proper divisors (24314928).

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

12349392 is a wasteful number, since it uses less digits than its factorization.

12349392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 12349392 is about 3514.1701723166. The cubic root of 12349392 is about 231.1435924378.

The spelling of 12349392 in words is "twelve million, three hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1231 1254 1672 2462 2508 3344 3693 4924 5016 7386 9848 10032 13541 14772 19696 23389 27082 29544 40623 46778 54164 59088 70167 81246 93556 108328 140334 162492 187112 216656 257279 280668 324984 374224 514558 561336 649968 771837 1029116 1122672 1543674 2058232 3087348 4116464 6174696 12349392