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341220420 = 223251011372
BaseRepresentation
bin10100010101101…
…001110001000100
3212210001210102100
4110111221301010
51144323023140
653505312100
711312216502
oct2425516104
9783053370
10341220420
11165678a52
1296335630
1355900c98
1433463672
151ee52530
hex14569c44

341220420 has 108 divisors (see below), whose sum is σ = 1052968644. Its totient is φ = 89433600.

The previous prime is 341220419. The next prime is 341220427. The reversal of 341220420 is 24022143.

It can be written as a sum of positive squares in 6 ways, for example, as 31741956 + 309478464 = 5634^2 + 17592^2 .

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 = 341220393 and 341220402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341220427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2490592 + ... + 2490728.

Almost surely, 2341220420 is an apocalyptic number.

341220420 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 341220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526484322).

341220420 is an abundant number, since it is smaller than the sum of its proper divisors (711748224).

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

341220420 is a wasteful number, since it uses less digits than its factorization.

341220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 341220420 is about 18472.1525545888. The cubic root of 341220420 is about 698.7873016634.

Adding to 341220420 its reverse (24022143), we get a palindrome (365242563).

It can be divided in two parts, 3412 and 20420, that added together give a palindrome (23832).

The spelling of 341220420 in words is "three hundred forty-one million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 137 180 202 274 303 404 411 505 548 606 685 822 909 1010 1212 1233 1370 1515 1644 1818 2020 2055 2466 2740 3030 3636 4110 4545 4932 6060 6165 8220 9090 12330 13837 18180 18769 24660 27674 37538 41511 55348 56307 69185 75076 83022 93845 112614 124533 138370 166044 168921 187690 207555 225228 249066 276740 281535 337842 375380 415110 498132 563070 622665 675684 830220 844605 1126140 1245330 1689210 1895669 2490660 3378420 3791338 5687007 7582676 9478345 11374014 17061021 18956690 22748028 28435035 34122042 37913380 56870070 68244084 85305105 113740140 170610210 341220420