Search a number
-
+
10341408 = 2537111399
BaseRepresentation
bin100111011100…
…110000100000
3201110101202010
4213130300200
510121411113
61005352520
7153620610
oct47346040
921411663
1010341408
115923720
123568740
1321b109c
141532a40
15d941c3
hex9dcc20

10341408 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2684160.

The previous prime is 10341403. The next prime is 10341437. The reversal of 10341408 is 80414301.

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

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

It is not an unprimeable number, because it can be changed into a prime (10341403) 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, 6693 + ... + 8091.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 210341408 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 10341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10341408 is an abundant number, since it is smaller than the sum of its proper divisors (23527392).

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

10341408 is a wasteful number, since it uses less digits than its factorization.

10341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

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

The square root of 10341408 is about 3215.8059642957. The cubic root of 10341408 is about 217.8678884194.

Adding to 10341408 its reverse (80414301), we get a palindrome (90755709).

It can be divided in two parts, 1034 and 1408, that added together give a palindrome (2442).

The spelling of 10341408 in words is "ten million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1399 1848 2464 2798 3696 4197 5596 7392 8394 9793 11192 15389 16788 19586 22384 29379 30778 33576 39172 44768 46167 58758 61556 67152 78344 92334 107723 117516 123112 134304 156688 184668 215446 235032 246224 313376 323169 369336 430892 470064 492448 646338 738672 861784 940128 1292676 1477344 1723568 2585352 3447136 5170704 10341408