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341013420 = 22325111571097
BaseRepresentation
bin10100010100110…
…111001110101100
3212202200021110200
4110110313032230
51144244412140
653501033500
711310365136
oct2424671654
9782607420
10341013420
11165547480
1296255890
135585a9b7
143340c056
151ee11030
hex145373ac

341013420 has 144 divisors (see below), whose sum is σ = 1136667168. Its totient is φ = 82068480.

The previous prime is 341013397. The next prime is 341013443. The reversal of 341013420 is 24310143.

It is an interprime number because it is at equal distance from previous prime (341013397) and next prime (341013443).

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 = 341013393 and 341013402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310312 + ... + 311408.

It is an arithmetic number, because the mean of its divisors is an integer number (7893522).

Almost surely, 2341013420 is an apocalyptic number.

341013420 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 341013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568333584).

341013420 is an abundant number, since it is smaller than the sum of its proper divisors (795653748).

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

341013420 is a wasteful number, since it uses less digits than its factorization.

341013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341013420 is about 18466.5486759167. The cubic root of 341013420 is about 698.6459675745.

Adding to 341013420 its reverse (24310143), we get a palindrome (365323563).

The spelling of 341013420 in words is "three hundred forty-one million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 157 165 180 198 220 314 330 396 471 495 628 660 785 942 990 1097 1413 1570 1727 1884 1980 2194 2355 2826 3140 3291 3454 4388 4710 5181 5485 5652 6582 6908 7065 8635 9420 9873 10362 10970 12067 13164 14130 15543 16455 17270 19746 20724 21940 24134 25905 28260 31086 32910 34540 36201 39492 48268 49365 51810 60335 62172 65820 72402 77715 98730 103620 108603 120670 144804 155430 172229 181005 197460 217206 241340 310860 344458 362010 434412 516687 543015 688916 724020 861145 1033374 1086030 1550061 1722290 1894519 2066748 2172060 2583435 3100122 3444580 3789038 5166870 5683557 6200244 7578076 7750305 9472595 10333740 11367114 15500610 17050671 18945190 22734228 28417785 31001220 34101342 37890380 56835570 68202684 85253355 113671140 170506710 341013420