Search a number
-
+
326364672 = 2931953211
BaseRepresentation
bin10011011100111…
…110111000000000
3211202010001011110
4103130332320000
51132022132142
652215043320
711042024334
oct2334767000
9752101143
10326364672
11158251677
1291370540
13527cc1ba
14314b77c4
151d9ba99c
hex1373ee00

326364672 has 160 divisors (see below), whose sum is σ = 936904320. Its totient is φ = 100638720.

The previous prime is 326364671. The next prime is 326364707. The reversal of 326364672 is 276463623.

Its product of digits (217728) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 326364672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326364671) 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, 1546647 + ... + 1546857.

It is an arithmetic number, because the mean of its divisors is an integer number (5855652).

Almost surely, 2326364672 is an apocalyptic number.

326364672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468452160).

326364672 is an abundant number, since it is smaller than the sum of its proper divisors (610539648).

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

326364672 is a wasteful number, since it uses less digits than its factorization.

326364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 217728, while the sum is 39.

The square root of 326364672 is about 18065.5659197270. The cubic root of 326364672 is about 688.4954066637.

The spelling of 326364672 in words is "three hundred twenty-six million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 211 212 228 256 304 318 384 422 424 456 512 608 633 636 768 844 848 912 1007 1216 1266 1272 1536 1688 1696 1824 2014 2432 2532 2544 3021 3376 3392 3648 4009 4028 4864 5064 5088 6042 6752 6784 7296 8018 8056 9728 10128 10176 11183 12027 12084 13504 13568 14592 16036 16112 20256 20352 22366 24054 24168 27008 27136 29184 32072 32224 33549 40512 40704 44732 48108 48336 54016 64144 64448 67098 81024 81408 89464 96216 96672 108032 128288 128896 134196 162048 178928 192432 193344 212477 256576 257792 268392 324096 357856 384864 386688 424954 513152 515584 536784 637431 715712 769728 773376 849908 1026304 1073568 1274862 1431424 1539456 1546752 1699816 2052608 2147136 2549724 2862848 3078912 3399632 4294272 5099448 5725696 6157824 6799264 8588544 10198896 13598528 17177088 20397792 27197056 40795584 54394112 81591168 108788224 163182336 326364672