Search a number
-
+
10434192 = 2431719673
BaseRepresentation
bin100111110011…
…011010010000
3201122010000120
4213303122100
510132343232
61011350240
7154455246
oct47633220
921563016
1010434192
1159873aa
1235b2380
1322143a2
141558796
15db192c
hex9f3690

10434192 has 80 divisors (see below), whose sum is σ = 30087360. Its totient is φ = 3096576.

The previous prime is 10434143. The next prime is 10434199. The reversal of 10434192 is 29143401.

10434192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10434199) 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, 15168 + ... + 15840.

It is an arithmetic number, because the mean of its divisors is an integer number (376092).

Almost surely, 210434192 is an apocalyptic number.

10434192 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 10434192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043680).

10434192 is an abundant number, since it is smaller than the sum of its proper divisors (19653168).

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

10434192 is a wasteful number, since it uses less digits than its factorization.

10434192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10434192 is about 3230.1999938084. The cubic root of 10434192 is about 218.5175258718.

Adding to 10434192 its reverse (29143401), we get a palindrome (39577593).

The spelling of 10434192 in words is "ten million, four hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 673 816 912 969 1292 1346 1938 2019 2584 2692 3876 4038 5168 5384 7752 8076 10768 11441 12787 15504 16152 22882 25574 32304 34323 38361 45764 51148 68646 76722 91528 102296 137292 153444 183056 204592 217379 274584 306888 434758 549168 613776 652137 869516 1304274 1739032 2608548 3478064 5217096 10434192