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734593680 = 243251020269
BaseRepresentation
bin101011110010010…
…000001010010000
31220012021020002100
4223302100022100
53001023444210
6200520520400
724126641352
oct5362201220
91805236070
10734593680
11347728117
12186020100
13b9262222
146d7c10d2
15447575c0
hex2bc90290

734593680 has 60 divisors (see below), whose sum is σ = 2467012860. Its totient is φ = 195891456.

The previous prime is 734593661. The next prime is 734593721. The reversal of 734593680 is 86395437.

It can be written as a sum of positive squares in 2 ways, for example, as 580039056 + 154554624 = 24084^2 + 12432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509415 + ... + 510854.

It is an arithmetic number, because the mean of its divisors is an integer number (41116881).

Almost surely, 2734593680 is an apocalyptic number.

It is an amenable number.

734593680 is an abundant number, since it is smaller than the sum of its proper divisors (1732419180).

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

734593680 is a wasteful number, since it uses less digits than its factorization.

734593680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020288 (or 1020279 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 734593680 is about 27103.3887180183. The cubic root of 734593680 is about 902.2960632707.

It can be divided in two parts, 7345 and 93680, that added together give a triangular number (101025 = T449).

The spelling of 734593680 in words is "seven hundred thirty-four million, five hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1020269 2040538 3060807 4081076 5101345 6121614 8162152 9182421 10202690 12243228 15304035 16324304 18364842 20405380 24486456 30608070 36729684 40810760 45912105 48972912 61216140 73459368 81621520 91824210 122432280 146918736 183648420 244864560 367296840 734593680