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1073132340 = 223572537197
BaseRepresentation
bin111111111101101…
…011001100110100
32202210021202211020
4333331223030310
54144210213330
6254252541140
735410321500
oct7775531464
92683252736
101073132340
11500834235
1225b4817b0
13141434667
14a2747300
156432a210
hex3ff6b334

1073132340 has 288 divisors, whose sum is σ = 3648685824. Its totient is φ = 234823680.

The previous prime is 1073132323. The next prime is 1073132351. The reversal of 1073132340 is 432313701.

It is a super-2 number, since 2×10731323402 = 2303226038307751200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1073132340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11063172 + ... + 11063268.

It is an arithmetic number, because the mean of its divisors is an integer number (12669048).

Almost surely, 21073132340 is an apocalyptic number.

1073132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824342912).

1073132340 is an abundant number, since it is smaller than the sum of its proper divisors (2575553484).

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

1073132340 is a wasteful number, since it uses less digits than its factorization.

1073132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1073132340 is about 32758.6986921031. The cubic root of 1073132340 is about 1023.8062135836.

It can be divided in two parts, 10731 and 32340, that added together give a triangular number (43071 = T293).

The spelling of 1073132340 in words is "one billion, seventy-three million, one hundred thirty-two thousand, three hundred forty".