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351441420 = 2235113189193
BaseRepresentation
bin10100111100101…
…001001000001100
3220111022001222220
4110330221020030
51204432111140
654512335340
711465126361
oct2474511014
9814261886
10351441420
1117041a160
1299844550
1357a6c305
1434964468
1520cc0bd0
hex14f2920c

351441420 has 192 divisors, whose sum is σ = 1126379520. Its totient is φ = 81100800.

The previous prime is 351441407. The next prime is 351441421. The reversal of 351441420 is 24144153.

It is a super-2 number, since 2×3514414202 = 247022143383232800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351441421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1820844 + ... + 1821036.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2351441420 is an apocalyptic number.

351441420 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 351441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563189760).

351441420 is an abundant number, since it is smaller than the sum of its proper divisors (774938100).

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

351441420 is a wasteful number, since it uses less digits than its factorization.

351441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 351441420 is about 18746.7709219481. The cubic root of 351441420 is about 705.6959879004.

Adding to 351441420 its reverse (24144153), we get a palindrome (375585573).

The spelling of 351441420 in words is "three hundred fifty-one million, four hundred forty-one thousand, four hundred twenty".