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335420352 = 263489727
BaseRepresentation
bin10011111111100…
…001101111000000
3212101011010020000
4103333201233000
51141331422402
653141120000
711212011621
oct2377415700
9771133200
10335420352
11162377303
12943b9000
135464cca7
1432793a48
151e6a8c1c
hex13fe1bc0

335420352 has 140 divisors (see below), whose sum is σ = 1006845840. Its totient is φ = 110398464.

The previous prime is 335420317. The next prime is 335420363. The reversal of 335420352 is 253024533.

It is a super-2 number, since 2×3354203522 = 225013625071607808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461013 + ... + 461739.

It is an arithmetic number, because the mean of its divisors is an integer number (7191756).

Almost surely, 2335420352 is an apocalyptic number.

335420352 is a gapful number since it is divisible by the number (32) 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 335420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503422920).

335420352 is an abundant number, since it is smaller than the sum of its proper divisors (671425488).

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

335420352 is an equidigital number, since it uses as much as digits as its factorization.

335420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 335420352 is about 18314.4847593373. The cubic root of 335420352 is about 694.8053226972.

Adding to 335420352 its reverse (253024533), we get a palindrome (588444885).

The spelling of 335420352 in words is "three hundred thirty-five million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 267 288 324 356 432 534 576 648 712 727 801 864 1068 1296 1424 1454 1602 1728 2136 2181 2403 2592 2848 2908 3204 4272 4362 4806 5184 5696 5816 6408 6543 7209 8544 8724 9612 11632 12816 13086 14418 17088 17448 19224 19629 23264 25632 26172 28836 34896 38448 39258 46528 51264 52344 57672 58887 64703 69792 76896 78516 104688 115344 117774 129406 139584 153792 157032 194109 209376 230688 235548 258812 314064 388218 418752 461376 471096 517624 582327 628128 776436 942192 1035248 1164654 1256256 1552872 1746981 1884384 2070496 2329308 3105744 3493962 3768768 4140992 4658616 5240943 6211488 6987924 9317232 10481886 12422976 13975848 18634464 20963772 27951696 37268928 41927544 55903392 83855088 111806784 167710176 335420352