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408031080 = 23351929419
BaseRepresentation
bin11000010100100…
…000111101101000
31001102210010102020
4120110200331220
51313423443310
6104253304440
713053130662
oct3024407550
91042703366
10408031080
1119a360876
12b4795120
13666c3c12
143c295532
1525c4d170
hex18520f68

408031080 has 96 divisors (see below), whose sum is σ = 1292047200. Its totient is φ = 103070592.

The previous prime is 408031069. The next prime is 408031097. The reversal of 408031080 is 80130804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 408031080.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38611 + ... + 48029.

It is an arithmetic number, because the mean of its divisors is an integer number (13458825).

Almost surely, 2408031080 is an apocalyptic number.

408031080 is a gapful number since it is divisible by the number (40) 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 408031080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646023600).

408031080 is an abundant number, since it is smaller than the sum of its proper divisors (884016120).

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

408031080 is a wasteful number, since it uses less digits than its factorization.

408031080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 408031080 is about 20199.7792067141. The cubic root of 408031080 is about 741.7047863811.

Adding to 408031080 its reverse (80130804), we get a palindrome (488161884).

The spelling of 408031080 in words is "four hundred eight million, thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3610 4332 5415 7220 8664 9419 10830 14440 18838 21660 28257 37676 43320 47095 56514 75352 94190 113028 141285 178961 188380 226056 282570 357922 376760 536883 565140 715844 894805 1073766 1130280 1431688 1789610 2147532 2684415 3400259 3579220 4295064 5368830 6800518 7158440 10200777 10737660 13601036 17001295 20401554 21475320 27202072 34002590 40803108 51003885 68005180 81606216 102007770 136010360 204015540 408031080