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352901028 = 223171998693
BaseRepresentation
bin10101000010001…
…101011110100100
3220121001020012110
4111002031132210
51210320313103
655003521020
711513415654
oct2502153644
9817036173
10352901028
11171226847
129a229170
135816079c
1434c24364
1520ead403
hex1508d7a4

352901028 has 48 divisors (see below), whose sum is σ = 876355200. Its totient is φ = 110145024.

The previous prime is 352901023. The next prime is 352901033. The reversal of 352901028 is 820109253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (352901023) and next prime (352901033).

It is a junction number, because it is equal to n+sod(n) for n = 352900986 and 352901004.

It is not an unprimeable number, because it can be changed into a prime (352901023) 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 15 ways as a sum of consecutive naturals, for example, 36250 + ... + 44942.

It is an arithmetic number, because the mean of its divisors is an integer number (18257400).

Almost surely, 2352901028 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 352901028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438177600).

352901028 is an abundant number, since it is smaller than the sum of its proper divisors (523454172).

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

352901028 is a wasteful number, since it uses less digits than its factorization.

352901028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 352901028 is about 18785.6601693952. The cubic root of 352901028 is about 706.6716050246.

Subtracting 352901028 from its reverse (820109253), we obtain a square (467208225 = 216152).

The spelling of 352901028 in words is "three hundred fifty-two million, nine hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 398 597 796 1194 2388 3383 6766 8693 10149 13532 17386 20298 26079 34772 40596 52158 104316 147781 295562 443343 591124 886686 1729907 1773372 3459814 5189721 6919628 10379442 20758884 29408419 58816838 88225257 117633676 176450514 352901028