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412345080 = 23345718181
BaseRepresentation
bin11000100100111…
…110001011111000
31001201220022010000
4120210332023320
51321030020310
6104525553000
713134606150
oct3044761370
91051808100
10412345080
111a1837a64
12b6115760
1367574694
143ca99760
15263014c0
hex1893e2f8

412345080 has 160 divisors (see below), whose sum is σ = 1584015840. Its totient is φ = 94245120.

The previous prime is 412345069. The next prime is 412345093. The reversal of 412345080 is 80543214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13590 + ... + 31770.

It is an arithmetic number, because the mean of its divisors is an integer number (9900099).

Almost surely, 2412345080 is an apocalyptic number.

412345080 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 412345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792007920).

412345080 is an abundant number, since it is smaller than the sum of its proper divisors (1171670760).

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

412345080 is a wasteful number, since it uses less digits than its factorization.

412345080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 412345080 is about 20306.2817866787. The cubic root of 412345080 is about 744.3095746036.

Adding to 412345080 its reverse (80543214), we get a palindrome (492888294).

The spelling of 412345080 in words is "four hundred twelve million, three hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 18181 22680 36362 54543 72724 90905 109086 127267 145448 163629 181810 218172 254534 272715 327258 363620 381801 436344 490887 509068 545430 636335 654516 727240 763602 818145 981774 1018136 1090860 1145403 1272670 1309032 1472661 1527204 1636290 1909005 1963548 2181720 2290806 2454435 2545340 2945322 3054408 3272580 3436209 3818010 3927096 4581612 4908870 5090680 5727015 5890644 6545160 6872418 7363305 7636020 9163224 9817740 10308627 11454030 11781288 13744836 14726610 15272040 17181045 19635480 20617254 22908060 27489672 29453220 34362090 41234508 45816120 51543135 58906440 68724180 82469016 103086270 137448360 206172540 412345080