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335445240 = 2335131012129
BaseRepresentation
bin10011111111100…
…111110011111000
3212101012101100210
4103333213303320
51141333221430
653141431120
711212144314
oct2377476370
9771171323
10335445240
11162393a79
129440b4a0
135465b410
143279cb44
151e6b12b0
hex13fe7cf8

335445240 has 128 divisors (see below), whose sum is σ = 1094990400. Its totient is φ = 81715200.

The previous prime is 335445239. The next prime is 335445287. The reversal of 335445240 is 42544533.

It is a super-2 number, since 2×3354452402 = 225047018077315200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 335445198 and 335445207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156496 + ... + 158624.

Almost surely, 2335445240 is an apocalyptic number.

335445240 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 335445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547495200).

335445240 is an abundant number, since it is smaller than the sum of its proper divisors (759545160).

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

335445240 is a wasteful number, since it uses less digits than its factorization.

335445240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 335445240 is about 18315.1642089281. The cubic root of 335445240 is about 694.8225069926.

Adding to 335445240 its reverse (42544533), we get a palindrome (377989773).

The spelling of 335445240 in words is "three hundred thirty-five million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 390 404 505 520 606 780 808 1010 1212 1313 1515 1560 2020 2129 2424 2626 3030 3939 4040 4258 5252 6060 6387 6565 7878 8516 10504 10645 12120 12774 13130 15756 17032 19695 21290 25548 26260 27677 31512 31935 39390 42580 51096 52520 55354 63870 78780 83031 85160 110708 127740 138385 157560 166062 215029 221416 255480 276770 332124 415155 430058 553540 645087 664248 830310 860116 1075145 1107080 1290174 1660620 1720232 2150290 2580348 2795377 3225435 3321240 4300580 5160696 5590754 6450870 8386131 8601160 11181508 12901740 13976885 16772262 22363016 25803480 27953770 33544524 41930655 55907540 67089048 83861310 111815080 167722620 335445240