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235364480 = 2751328289
BaseRepresentation
bin11100000011101…
…10000010000000
3121101212202100222
432001312002000
5440223130410
635204402212
75555364551
oct1601660200
9541782328
10235364480
111109478aa
12669a6368
13399b9c30
142338a328
15159e2955
hexe076080

235364480 has 64 divisors (see below), whose sum is σ = 605971800. Its totient is φ = 86900736.

The previous prime is 235364447. The next prime is 235364491. The reversal of 235364480 is 84463532.

It can be written as a sum of positive squares in 4 ways, for example, as 202094656 + 33269824 = 14216^2 + 5768^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 235364480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5825 + ... + 22464.

Almost surely, 2235364480 is an apocalyptic number.

235364480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235364480 is an abundant number, since it is smaller than the sum of its proper divisors (370607320).

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

235364480 is a wasteful number, since it uses less digits than its factorization.

235364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28321 (or 28309 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 235364480 is about 15341.5931376112. The cubic root of 235364480 is about 617.4194511029.

The spelling of 235364480 in words is "two hundred thirty-five million, three hundred sixty-four thousand, four hundred eighty".

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 28289 56578 113156 141445 226312 282890 367757 452624 565780 735514 905248 1131560 1471028 1810496 1838785 2263120 2942056 3620992 3677570 4526240 5884112 7355140 9052480 11768224 14710280 18104960 23536448 29420560 47072896 58841120 117682240 235364480