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343412220 = 2235107149359
BaseRepresentation
bin10100011110000…
…000110111111100
3212221012011000010
4110132000313330
51200403142340
654024303220
711336645544
oct2436006774
9787164003
10343412220
11166935758
1297011b10
13561ba7c8
1433874324
1520236b80
hex14780dfc

343412220 has 96 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 89860864.

The previous prime is 343412219. The next prime is 343412231. The reversal of 343412220 is 22214343.

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, 956401 + ... + 956759.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2343412220 is an apocalyptic number.

343412220 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 343412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

343412220 is an abundant number, since it is smaller than the sum of its proper divisors (636363780).

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

343412220 is a wasteful number, since it uses less digits than its factorization.

343412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 343412220 is about 18531.3847296957. The cubic root of 343412220 is about 700.2803095060.

Adding to 343412220 its reverse (22214343), we get a palindrome (365626563).

The spelling of 343412220 in words is "three hundred forty-three million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 149 214 298 321 359 428 447 535 596 642 718 745 894 1070 1077 1284 1436 1490 1605 1788 1795 2140 2154 2235 2980 3210 3590 4308 4470 5385 6420 7180 8940 10770 15943 21540 31886 38413 47829 53491 63772 76826 79715 95658 106982 115239 153652 159430 160473 191316 192065 213964 230478 239145 267455 318860 320946 384130 460956 478290 534910 576195 641892 768260 802365 956580 1069820 1152390 1604730 2304780 3209460 5723537 11447074 17170611 22894148 28617685 34341222 57235370 68682444 85853055 114470740 171706110 343412220