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335257380 = 22355101683
BaseRepresentation
bin10011111110111…
…001111100100100
3212100211211200000
4103332321330210
51141311214010
653133421300
711210432523
oct2376717444
9770754600
10335257380
11162275917
129433a830
13545c3a63
14327504ba
151e6757c0
hex13fb9f24

335257380 has 144 divisors (see below), whose sum is σ = 1066613184. Its totient is φ = 88387200.

The previous prime is 335257367. The next prime is 335257381. The reversal of 335257380 is 83752533.

335257380 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 573 + 80 = 666.

It is a super-2 number, since 2×3352573802 = 224795021688928800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (335257381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490519 + ... + 491201.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2335257380 is an apocalyptic number.

335257380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335257380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533306592).

335257380 is an abundant number, since it is smaller than the sum of its proper divisors (731355804).

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

335257380 is a wasteful number, since it uses less digits than its factorization.

335257380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 335257380 is about 18310.0349535439. The cubic root of 335257380 is about 694.6927752062.

The spelling of 335257380 in words is "three hundred thirty-five million, two hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 243 270 303 324 404 405 486 505 540 606 683 810 909 972 1010 1212 1215 1366 1515 1620 1818 2020 2049 2430 2727 2732 3030 3415 3636 4098 4545 4860 5454 6060 6147 6830 8181 8196 9090 10245 10908 12294 13635 13660 16362 18180 18441 20490 24543 24588 27270 30735 32724 36882 40905 40980 49086 54540 55323 61470 68983 73764 81810 92205 98172 110646 122715 122940 137966 163620 165969 184410 206949 221292 245430 275932 276615 331938 344915 368820 413898 490860 553230 620847 663876 689830 827796 829845 1034745 1106460 1241694 1379660 1659690 1862541 2069490 2483388 3104235 3319380 3725082 4138980 5587623 6208470 7450164 9312705 11175246 12416940 16762869 18625410 22350492 27938115 33525738 37250820 55876230 67051476 83814345 111752460 167628690 335257380