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355053090 = 235729173337
BaseRepresentation
bin10101001010011…
…010111000100010
3220202002120021110
4111022122320202
51211343144330
655122004150
711540621130
oct2512327042
9822076243
10355053090
11172466707
129aaa6656
13587351b2
1435224750
1521285db0
hex1529ae22

355053090 has 128 divisors (see below), whose sum is σ = 1016271360. Its totient is φ = 77672448.

The previous prime is 355053079. The next prime is 355053151. The reversal of 355053090 is 90350553.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1053402 + ... + 1053738.

It is an arithmetic number, because the mean of its divisors is an integer number (7939620).

Almost surely, 2355053090 is an apocalyptic number.

355053090 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 355053090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508135680).

355053090 is an abundant number, since it is smaller than the sum of its proper divisors (661218270).

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

355053090 is a wasteful number, since it uses less digits than its factorization.

355053090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 10125, while the sum is 30.

The square root of 355053090 is about 18842.8524910641. The cubic root of 355053090 is about 708.1051704662.

The spelling of 355053090 in words is "three hundred fifty-five million, fifty-three thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 173 174 203 210 290 337 346 406 435 519 609 674 865 870 1011 1015 1038 1211 1218 1685 1730 2022 2030 2359 2422 2595 3045 3370 3633 4718 5017 5055 5190 6055 6090 7077 7266 9773 10034 10110 11795 12110 14154 15051 18165 19546 23590 25085 29319 30102 35119 35385 36330 48865 50170 58301 58638 68411 70238 70770 75255 97730 105357 116602 136822 146595 150510 174903 175595 205233 210714 291505 293190 342055 349806 351190 408107 410466 526785 583010 684110 816214 874515 1026165 1053570 1224321 1690729 1749030 2040535 2052330 2448642 3381458 4081070 5072187 6121605 8453645 10144374 11835103 12243210 16907290 23670206 25360935 35505309 50721870 59175515 71010618 118351030 177526545 355053090