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352350041 = 171923431103
BaseRepresentation
bin10101000000000…
…110111101011001
3220120000020101112
4111000012331121
51210200200131
654544030105
711505632411
oct2500067531
9816006345
10352350041
1117098a88a
129a002335
1357cc9a64
1434b1d641
1520e0002b
hex15006f59

352350041 has 32 divisors (see below), whose sum is σ = 419696640. Its totient is φ = 293255424.

The previous prime is 352350017. The next prime is 352350043. The reversal of 352350041 is 140053253.

It is not a de Polignac number, because 352350041 - 210 = 352349017 is a prime.

It is a super-4 number, since 4×3523500414 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 352349989 and 352350016.

It is not an unprimeable number, because it can be changed into a prime (352350043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 318896 + ... + 319998.

It is an arithmetic number, because the mean of its divisors is an integer number (13115520).

Almost surely, 2352350041 is an apocalyptic number.

It is an amenable number.

352350041 is a deficient number, since it is larger than the sum of its proper divisors (67346599).

352350041 is a wasteful number, since it uses less digits than its factorization.

352350041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 352350041 is about 18770.9893452636. The cubic root of 352350041 is about 706.3036362429.

The spelling of 352350041 in words is "three hundred fifty-two million, three hundred fifty thousand, forty-one".

Divisors: 1 17 19 23 43 323 391 437 731 817 989 1103 7429 13889 16813 18751 18791 20957 25369 47429 319447 356269 431273 482011 806293 901151 1090867 8194187 15319567 18544739 20726473 352350041