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320423004 = 2232112174327
BaseRepresentation
bin10011000110010…
…100010001011100
3211022221011201200
4103012110101130
51124012014004
651443435500
710640356566
oct2306242134
9738834650
10320423004
11154963600
128b385b90
13514cb915
14307ac336
151d1e5239
hex1319445c

320423004 has 108 divisors (see below), whose sum is σ = 942872112. Its totient is φ = 91365120.

The previous prime is 320422981. The next prime is 320423023. The reversal of 320423004 is 400324023.

320423004 is a `hidden beast` number, since 320 + 42 + 300 + 4 = 666.

It is a super-3 number, since 3×3204230043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71889 + ... + 76215.

Almost surely, 2320423004 is an apocalyptic number.

320423004 is a gapful number since it is divisible by the number (34) 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 320423004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471436056).

320423004 is an abundant number, since it is smaller than the sum of its proper divisors (622449108).

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

320423004 is a wasteful number, since it uses less digits than its factorization.

320423004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320423004 is about 17900.3632365380. The cubic root of 320423004 is about 684.2916320792.

Adding to 320423004 its reverse (400324023), we get a palindrome (720747027).

It can be divided in two parts, 320 and 423004, that added together give a palindrome (423324).

The spelling of 320423004 in words is "three hundred twenty million, four hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4327 4356 6171 6732 8228 8654 12342 12981 17308 18513 24684 25962 37026 38943 47597 51924 73559 74052 77886 95194 142791 147118 155772 190388 220677 285582 294236 428373 441354 523567 571164 662031 809149 856746 882708 1047134 1324062 1570701 1618298 1713492 2094268 2427447 2648124 3141402 3236596 4712103 4854894 6282804 7282341 8900639 9424206 9709788 14564682 17801278 18848412 26701917 29129364 35602556 53403834 80105751 106807668 160211502 320423004