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404313030 = 2325112137271
BaseRepresentation
bin11000000110010…
…101001111000110
31001011210020012200
4120012111033012
51312001004110
6104041455330
713006414122
oct3006251706
91034706180
10404313030
11198251400
12b34a1546
13659c17a4
143b9a8582
15257666c0
hex181953c6

404313030 has 144 divisors (see below), whose sum is σ = 1168195392. Its totient is φ = 96940800.

The previous prime is 404313001. The next prime is 404313037. The reversal of 404313030 is 30313404.

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

It is a junction number, because it is equal to n+sod(n) for n = 404312994 and 404313012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404313037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491795 + ... + 1492065.

It is an arithmetic number, because the mean of its divisors is an integer number (8112468).

Almost surely, 2404313030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584097696).

404313030 is an abundant number, since it is smaller than the sum of its proper divisors (763882362).

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

404313030 is a wasteful number, since it uses less digits than its factorization.

404313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 404313030 is about 20107.5366467402. The cubic root of 404313030 is about 739.4450611798.

Adding to 404313030 its reverse (30313404), we get a palindrome (434626434).

The spelling of 404313030 in words is "four hundred four million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 137 165 198 242 271 274 330 363 411 495 542 605 685 726 813 822 990 1089 1210 1233 1355 1370 1507 1626 1815 2055 2178 2439 2466 2710 2981 3014 3630 4065 4110 4521 4878 5445 5962 6165 7535 8130 8943 9042 10890 12195 12330 13563 14905 15070 16577 17886 22605 24390 26829 27126 29810 32791 33154 37127 44715 45210 49731 53658 65582 67815 74254 82885 89430 98373 99462 111381 134145 135630 149193 163955 165770 185635 196746 222762 248655 268290 295119 298386 327910 334143 371270 408397 491865 497310 556905 590238 668286 745965 816794 983730 1113810 1225191 1475595 1491930 1670715 2041985 2450382 2951190 3341430 3675573 4083970 4492367 6125955 7351146 8984734 12251910 13477101 18377865 22461835 26954202 36755730 40431303 44923670 67385505 80862606 134771010 202156515 404313030