Search a number
-
+
323426048 = 2811432671
BaseRepresentation
bin10011010001110…
…001011100000000
3211112120202010112
4103101301130000
51130244113143
652032050452
711005035041
oct2321613400
9745522115
10323426048
11156624860
1290393a28
135201077a
1430d508c8
151d5d9e18
hex13471700

323426048 has 72 divisors (see below), whose sum is σ = 720926976. Its totient is φ = 143539200.

The previous prime is 323426041. The next prime is 323426063. The reversal of 323426048 is 840624323.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323426041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119753 + ... + 122423.

Almost surely, 2323426048 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 323426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360463488).

323426048 is an abundant number, since it is smaller than the sum of its proper divisors (397500928).

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

323426048 is a wasteful number, since it uses less digits than its factorization.

323426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 323426048 is about 17984.0498219950. The cubic root of 323426048 is about 686.4227434538.

The spelling of 323426048 in words is "three hundred twenty-three million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 688 704 946 1376 1408 1892 2671 2752 2816 3784 5342 5504 7568 10684 11008 15136 21368 29381 30272 42736 58762 60544 85472 114853 117524 121088 170944 229706 235048 341888 459412 470096 683776 918824 940192 1263383 1837648 1880384 2526766 3675296 3760768 5053532 7350592 7521536 10107064 14701184 20214128 29402368 40428256 80856512 161713024 323426048