Search a number
-
+
10340148 = 22371317557
BaseRepresentation
bin100111011100…
…011100110100
3201110100000110
4213130130310
510121341043
61005343020
7153614130
oct47343464
921410013
1010340148
115922785
123567a70
1321b0640
1415323c0
15d93b33
hex9dc734

10340148 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 2562048.

The previous prime is 10340147. The next prime is 10340149. The reversal of 10340148 is 84104301.

It is an interprime number because it is at equal distance from previous prime (10340147) and next prime (10340149).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18286 + ... + 18842.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 210340148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

10340148 is an abundant number, since it is smaller than the sum of its proper divisors (21157836).

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

10340148 is a wasteful number, since it uses less digits than its factorization.

10340148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10340148 is about 3215.6100509857. The cubic root of 10340148 is about 217.8590396989.

Adding to 10340148 its reverse (84104301), we get a palindrome (94444449).

The spelling of 10340148 in words is "ten million, three hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 557 663 714 884 1092 1114 1326 1428 1547 1671 2228 2652 3094 3342 3899 4641 6188 6684 7241 7798 9282 9469 11697 14482 15596 18564 18938 21723 23394 28407 28964 37876 43446 46788 50687 56814 66283 86892 101374 113628 123097 132566 152061 198849 202748 246194 265132 304122 369291 397698 492388 608244 738582 795396 861679 1477164 1723358 2585037 3446716 5170074 10340148