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355216290 = 2351113312671
BaseRepresentation
bin10101001011000…
…010101110100010
3220202101212010220
4111023002232202
51211413410130
655125303510
711542201002
oct2513025642
9822355126
10355216290
11172568290
129ab64b96
1358791570
1435268002
15212b9410
hex152c2ba2

355216290 has 128 divisors (see below), whose sum is σ = 1034256384. Its totient is φ = 76896000.

The previous prime is 355216247. The next prime is 355216297. The reversal of 355216290 is 92612553.

It is a super-2 number, since 2×3552162902 = 252357225362728200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (355216297) 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 63 ways as a sum of consecutive naturals, for example, 131655 + ... + 134325.

It is an arithmetic number, because the mean of its divisors is an integer number (8080128).

Almost surely, 2355216290 is an apocalyptic number.

355216290 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 355216290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517128192).

355216290 is an abundant number, since it is smaller than the sum of its proper divisors (679040094).

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

355216290 is a wasteful number, since it uses less digits than its factorization.

355216290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 355216290 is about 18847.1825480627. The cubic root of 355216290 is about 708.2136472597.

The spelling of 355216290 in words is "three hundred fifty-five million, two hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 310 330 341 390 403 429 465 682 715 806 858 930 1023 1209 1430 1705 2015 2046 2145 2418 2671 3410 4030 4290 4433 5115 5342 6045 8013 8866 10230 12090 13299 13355 16026 22165 26598 26710 29381 34723 40065 44330 58762 66495 69446 80130 82801 88143 104169 132990 146905 165602 173615 176286 208338 248403 293810 347230 381953 414005 440715 496806 520845 763906 828010 881430 910811 1041690 1076413 1145859 1242015 1821622 1909765 2152826 2291718 2484030 2732433 3229239 3819530 4554055 5382065 5464866 5729295 6458478 9108110 10764130 11458590 11840543 13662165 16146195 23681086 27324330 32292390 35521629 59202715 71043258 118405430 177608145 355216290