Search a number
-
+
203431392 = 25331731361
BaseRepresentation
bin11000010000000…
…01110111100000
3112011210101102000
430020001313200
5404034301032
632104124000
75020065303
oct1410016740
9464711360
10203431392
11a491701a
1258166600
13331b9108
141d036b3a
1512cd5e7c
hexc201de0

203431392 has 96 divisors (see below), whose sum is σ = 597209760. Its totient is φ = 67368960.

The previous prime is 203431379. The next prime is 203431411. The reversal of 203431392 is 293134302.

It is a happy number.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148792 + ... + 150152.

It is an arithmetic number, because the mean of its divisors is an integer number (6220935).

Almost surely, 2203431392 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 203431392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298604880).

203431392 is an abundant number, since it is smaller than the sum of its proper divisors (393778368).

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

203431392 is a wasteful number, since it uses less digits than its factorization.

203431392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 203431392 is about 14262.9377058164. The cubic root of 203431392 is about 588.1290845294.

Adding to 203431392 its reverse (293134302), we get a palindrome (496565694).

The spelling of 203431392 in words is "two hundred three million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1361 1384 1557 2076 2722 2768 3114 4083 4152 4671 5444 5536 6228 8166 8304 9342 10888 12249 12456 16332 16608 18684 21776 24498 24912 32664 36747 37368 43552 48996 49824 65328 73494 74736 97992 130656 146988 149472 195984 235453 293976 391968 470906 587952 706359 941812 1175904 1412718 1883624 2119077 2825436 3767248 4238154 5650872 6357231 7534496 8476308 11301744 12714462 16952616 22603488 25428924 33905232 50857848 67810464 101715696 203431392