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354232125 = 32531353457
BaseRepresentation
bin10101000111010…
…010011100111101
3220200112212010100
4111013102130331
51211140412000
655052231313
711530631502
oct2507223475
9820485110
10354232125
11171a55925
129a76b539
1358508610
143508d4a9
1521172a00
hex151d273d

354232125 has 96 divisors (see below), whose sum is σ = 702190944. Its totient is φ = 170726400.

The previous prime is 354232097. The next prime is 354232147. The reversal of 354232125 is 521232453.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 208571364 + 145660761 = 14442^2 + 12069^2 .

It is not a de Polignac number, because 354232125 - 25 = 354232093 is a prime.

It is a super-3 number, since 3×3542321253 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774897 + ... + 775353.

It is an arithmetic number, because the mean of its divisors is an integer number (7314489).

Almost surely, 2354232125 is an apocalyptic number.

It is an amenable number.

354232125 is a deficient number, since it is larger than the sum of its proper divisors (347958819).

354232125 is a wasteful number, since it uses less digits than its factorization.

354232125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 354232125 is about 18821.0553636081. The cubic root of 354232125 is about 707.5589815437.

Adding to 354232125 its reverse (521232453), we get a palindrome (875464578).

The spelling of 354232125 in words is "three hundred fifty-four million, two hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 53 65 75 117 125 159 195 225 265 325 375 457 477 585 689 795 975 1125 1325 1371 1625 2067 2285 2385 2925 3445 3975 4113 4875 5941 6201 6625 6855 10335 11425 11925 14625 17225 17823 19875 20565 24221 29705 31005 34275 51675 53469 57125 59625 72663 86125 89115 102825 121105 148525 155025 171375 217989 258375 267345 314873 363315 445575 514125 605525 742625 775125 944619 1089945 1336725 1574365 1816575 2227875 2833857 3027625 4723095 5449725 6683625 7871825 9082875 14169285 23615475 27248625 39359125 70846425 118077375 354232125