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354211424 = 25713112071
BaseRepresentation
bin10101000111001…
…101011001100000
3220200111210201122
4111013031121200
51211134231144
655051551412
711530514240
oct2507153140
9820453648
10354211424
11171a41316
129a75b568
13584cc078
1435085b20
152116b7ee
hex151cd660

354211424 has 48 divisors (see below), whose sum is σ = 803126016. Its totient is φ = 150633600.

The previous prime is 354211387. The next prime is 354211441. The reversal of 354211424 is 424112453.

It is a super-3 number, since 3×3542114243 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354211393 and 354211402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23309 + ... + 35379.

It is an arithmetic number, because the mean of its divisors is an integer number (16731792).

Almost surely, 2354211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401563008).

354211424 is an abundant number, since it is smaller than the sum of its proper divisors (448914592).

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

354211424 is a wasteful number, since it uses less digits than its factorization.

354211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12211 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 354211424 is about 18820.5054129797. The cubic root of 354211424 is about 707.5451982429.

Adding to 354211424 its reverse (424112453), we get a palindrome (778323877).

The spelling of 354211424 in words is "three hundred fifty-four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 12071 14672 24142 29344 48284 84497 96568 168994 193136 337988 386272 675976 1351952 1581301 2703904 3162602 6325204 11069107 12650408 22138214 25300816 44276428 50601632 88552856 177105712 354211424