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340875480 = 233511281919
BaseRepresentation
bin10100010100010…
…101100011011000
3212202102021020210
4110110111203120
51144231003410
653454051120
711306252031
oct2424254330
9782367223
10340875480
11165462880
12961a9aa0
135580cc8a
14333b3a88
151edd5220
hex145158d8

340875480 has 128 divisors (see below), whose sum is σ = 1120780800. Its totient is φ = 82252800.

The previous prime is 340875463. The next prime is 340875497. The reversal of 340875480 is 84578043.

It is an interprime number because it is at equal distance from previous prime (340875463) and next prime (340875497).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370461 + ... + 371379.

It is an arithmetic number, because the mean of its divisors is an integer number (8756100).

Almost surely, 2340875480 is an apocalyptic number.

340875480 is a gapful number since it is divisible by the number (30) 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 340875480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560390400).

340875480 is an abundant number, since it is smaller than the sum of its proper divisors (779905320).

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

340875480 is a wasteful number, since it uses less digits than its factorization.

340875480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 340875480 is about 18462.8134367436. The cubic root of 340875480 is about 698.5517540567.

The spelling of 340875480 in words is "three hundred forty million, eight hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 281 330 440 562 660 843 919 1124 1320 1405 1686 1838 2248 2757 2810 3091 3372 3676 4215 4595 5514 5620 6182 6744 7352 8430 9190 9273 10109 11028 11240 12364 13785 15455 16860 18380 18546 20218 22056 24728 27570 30327 30910 33720 36760 37092 40436 46365 50545 55140 60654 61820 74184 80872 92730 101090 110280 121308 123640 151635 185460 202180 242616 258239 303270 370920 404360 516478 606540 774717 1032956 1213080 1291195 1549434 2065912 2582390 2840629 3098868 3873585 5164780 5681258 6197736 7747170 8521887 10329560 11362516 14203145 15494340 17043774 22725032 28406290 30988680 34087548 42609435 56812580 68175096 85218870 113625160 170437740 340875480