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335542240 = 25511190649
BaseRepresentation
bin10011111111111…
…111011111100000
3212101101022102101
4103333333133200
51141344322430
653143500144
711213030155
oct2377773740
9771338371
10335542240
1116244a940
1294457654
1354693607
14327c622c
151e6cedca
hex13fff7e0

335542240 has 48 divisors (see below), whose sum is σ = 864788400. Its totient is φ = 122014720.

The previous prime is 335542219. The next prime is 335542241. The reversal of 335542240 is 42245533.

It is a super-3 number, since 3×3355422403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 335542199 and 335542208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335542241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93565 + ... + 97084.

It is an arithmetic number, because the mean of its divisors is an integer number (18016425).

Almost surely, 2335542240 is an apocalyptic number.

It is an amenable number.

335542240 is an abundant number, since it is smaller than the sum of its proper divisors (529246160).

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

335542240 is a wasteful number, since it uses less digits than its factorization.

335542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190675 (or 190667 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 335542240 is about 18317.8120964268. The cubic root of 335542240 is about 694.8894739962.

Adding to 335542240 its reverse (42245533), we get a palindrome (377787773).

The spelling of 335542240 in words is "three hundred thirty-five million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 190649 381298 762596 953245 1525192 1906490 2097139 3050384 3812980 4194278 6100768 7625960 8388556 10485695 15251920 16777112 20971390 30503840 33554224 41942780 67108448 83885560 167771120 335542240