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335250240 = 26351326863
BaseRepresentation
bin10011111110111…
…000001101000000
3212100211110212120
4103332320031000
51141311001430
653133324240
711210402643
oct2376701500
9770743776
10335250240
11162270516
1294336680
13545c0730
143274ba5a
151e673610
hex13fb8340

335250240 has 112 divisors (see below), whose sum is σ = 1146340608. Its totient is φ = 82520064.

The previous prime is 335250211. The next prime is 335250247. The reversal of 335250240 is 42052533.

It is a super-2 number, since 2×3352502402 = 224785446840115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 335250240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335250247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 25911.

It is an arithmetic number, because the mean of its divisors is an integer number (10235184).

Almost surely, 2335250240 is an apocalyptic number.

335250240 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 335250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573170304).

335250240 is an abundant number, since it is smaller than the sum of its proper divisors (811090368).

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

335250240 is a wasteful number, since it uses less digits than its factorization.

335250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26896 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 335250240 is about 18309.8399774547. The cubic root of 335250240 is about 694.6878435309.

The spelling of 335250240 in words is "three hundred thirty-five million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 26863 53726 80589 107452 134315 161178 214904 268630 322356 349219 402945 429808 537260 644712 698438 805890 859616 1047657 1074520 1289424 1396876 1611780 1719232 1746095 2095314 2149040 2578848 2793752 3223560 3492190 4190628 4298080 5157696 5238285 5587504 6447120 6984380 8381256 8596160 10476570 11175008 12894240 13968760 16762512 20953140 22350016 25788480 27937520 33525024 41906280 55875040 67050048 83812560 111750080 167625120 335250240