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353242240 = 2751342457
BaseRepresentation
bin10101000011100…
…000110010000000
3220121200120020221
4111003200302000
51210412222430
655015112424
711516336521
oct2503406200
9817616227
10353242240
1117143a13a
129a372714
135824cba0
1434cb2848
152102957a
hex150e0c80

353242240 has 64 divisors (see below), whose sum is σ = 909450360. Its totient is φ = 130424832.

The previous prime is 353242237. The next prime is 353242247. The reversal of 353242240 is 42242353.

It can be written as a sum of positive squares in 4 ways, for example, as 297769536 + 55472704 = 17256^2 + 7448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (353242247) 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, 12909 + ... + 29548.

Almost surely, 2353242240 is an apocalyptic number.

It is an amenable number.

353242240 is an abundant number, since it is smaller than the sum of its proper divisors (556208120).

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

353242240 is a wasteful number, since it uses less digits than its factorization.

353242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42489 (or 42477 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 353242240 is about 18794.7396896046. The cubic root of 353242240 is about 706.8992865761.

Adding to 353242240 its reverse (42242353), we get a palindrome (395484593).

The spelling of 353242240 in words is "three hundred fifty-three million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 42457 84914 169828 212285 339656 424570 551941 679312 849140 1103882 1358624 1698280 2207764 2717248 2759705 3396560 4415528 5434496 5519410 6793120 8831056 11038820 13586240 17662112 22077640 27172480 35324224 44155280 70648448 88310560 176621120 353242240