[go: up one dir, main page]

Search a number
-
+
203414792 = 23717732927
BaseRepresentation
bin11000001111111…
…01110100001000
3112011202112122012
430013331310020
5404033233132
632103515052
75016666020
oct1407756410
9464675565
10203414792
11a49055a9
1258158a88
13331b16a9
141d030a80
1512cd10b2
hexc1fdd08

203414792 has 64 divisors (see below), whose sum is σ = 468011520. Its totient is φ = 80898048.

The previous prime is 203414791. The next prime is 203414801. The reversal of 203414792 is 297414302.

203414792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203414791) 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, 68033 + ... + 70959.

It is an arithmetic number, because the mean of its divisors is an integer number (7312680).

Almost surely, 2203414792 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 203414792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234005760).

203414792 is an abundant number, since it is smaller than the sum of its proper divisors (264596728).

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

203414792 is a wasteful number, since it uses less digits than its factorization.

203414792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 203414792 is about 14262.3557661419. The cubic root of 203414792 is about 588.1130869847.

The spelling of 203414792 in words is "two hundred three million, four hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2044 2482 2927 4088 4964 5854 8687 9928 11708 17374 20489 23416 34748 40978 49759 69496 81956 99518 163912 199036 213671 348313 398072 427342 696626 854684 1393252 1495697 1709368 2786504 2991394 3632407 5982788 7264814 11965576 14529628 25426849 29059256 50853698 101707396 203414792