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803684232 = 23321322572
BaseRepresentation
bin101111111001110…
…011111110001000
32002000021101111200
4233321303332020
53121220343412
6211425424200
725626126501
oct5771637610
92060241450
10803684232
1138272794a
121a519b060
13ca672b00
1478a47ba8
154a8539dc
hex2fe73f88

803684232 has 108 divisors (see below), whose sum is σ = 2366165295. Its totient is φ = 246325248.

The previous prime is 803684227. The next prime is 803684251. The reversal of 803684232 is 232486308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 608411556 + 195272676 = 24666^2 + 13974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20046.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3127048 + ... + 3127304.

Almost surely, 2803684232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803684232

803684232 is an abundant number, since it is smaller than the sum of its proper divisors (1562481063).

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

803684232 is a wasteful number, since it uses less digits than its factorization.

803684232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 803684232 is about 28349.3250713311. The cubic root of 803684232 is about 929.7406422107.

It can be divided in two parts, 803 and 684232, that added together give a triangular number (685035 = T1170).

The spelling of 803684232 in words is "eight hundred three million, six hundred eighty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 257 312 338 468 507 514 676 771 936 1014 1028 1352 1521 1542 2028 2056 2313 3042 3084 3341 4056 4626 6084 6168 6682 9252 10023 12168 13364 18504 20046 26728 30069 40092 43433 60138 66049 80184 86866 120276 130299 132098 173732 198147 240552 260598 264196 347464 390897 396294 521196 528392 594441 781794 792588 858637 1042392 1188882 1563588 1585176 1717274 2377764 2575911 3127176 3434548 4755528 5151822 6869096 7727733 10303644 11162281 15455466 20607288 22324562 30910932 33486843 44649124 61821864 66973686 89298248 100460529 133947372 200921058 267894744 401842116 803684232