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354272130 = 237597167
BaseRepresentation
bin10101000111011…
…100001110000010
3220200121220000000
4111013130032002
51211143202010
655053140430
711531156232
oct2507341602
9820556000
10354272130
11171a82993
129a78a716
13585208a4
143509dcc2
152117e7c0
hex151dc382

354272130 has 128 divisors (see below), whose sum is σ = 972034560. Its totient is φ = 92938752.

The previous prime is 354272111. The next prime is 354272143. The reversal of 354272130 is 31272453.

It is a super-3 number, since 3×3542721303 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 354272094 and 354272103.

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 63 ways as a sum of consecutive naturals, for example, 2121307 + ... + 2121473.

It is an arithmetic number, because the mean of its divisors is an integer number (7594020).

Almost surely, 2354272130 is an apocalyptic number.

354272130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354272130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486017280).

354272130 is an abundant number, since it is smaller than the sum of its proper divisors (617762430).

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

354272130 is an equidigital number, since it uses as much as digits as its factorization.

354272130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 354272130 is about 18822.1181061006. The cubic root of 354272130 is about 707.5856164624.

It can be divided in two parts, 354 and 272130, that added together give a square (272484 = 5222).

The spelling of 354272130 in words is "three hundred fifty-four million, two hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 167 194 243 270 291 334 405 485 486 501 582 729 810 835 873 970 1002 1215 1455 1458 1503 1670 1746 2187 2430 2505 2619 2910 3006 3645 4365 4374 4509 5010 5238 7290 7515 7857 8730 9018 10935 13095 13527 15030 15714 16199 21870 22545 23571 26190 27054 32398 39285 40581 45090 47142 48597 67635 70713 78570 80995 81162 97194 117855 121743 135270 141426 145791 161990 202905 212139 235710 242985 243486 291582 353565 365229 405810 424278 437373 485970 608715 707130 728955 730458 874746 1060695 1217430 1312119 1457910 1826145 2121390 2186865 2624238 3652290 3936357 4373730 6560595 7872714 11809071 13121190 19681785 23618142 35427213 39363570 59045355 70854426 118090710 177136065 354272130