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1045884340 = 2251072272153
BaseRepresentation
bin111110010101101…
…110110110110100
32200220000102121001
4332111232312310
54120221244330
6251440533044
734626604324
oct7625566664
92626012531
101045884340
11497413426
12252321184
131388b4197
149cc93284
1561c469ca
hex3e56edb4

1045884340 has 48 divisors (see below), whose sum is σ = 2227684032. Its totient is φ = 412426496.

The previous prime is 1045884299. The next prime is 1045884341. The reversal of 1045884340 is 434885401.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1045884340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045884341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 484704 + ... + 486856.

It is an arithmetic number, because the mean of its divisors is an integer number (46410084).

Almost surely, 21045884340 is an apocalyptic number.

1045884340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045884340 is an abundant number, since it is smaller than the sum of its proper divisors (1181799692).

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

1045884340 is a wasteful number, since it uses less digits than its factorization.

1045884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 1045884340 is about 32340.1351264957. The cubic root of 1045884340 is about 1015.0666364075.

The spelling of 1045884340 in words is "one billion, forty-five million, eight hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 107 214 227 428 454 535 908 1070 1135 2140 2153 2270 4306 4540 8612 10765 21530 24289 43060 48578 97156 121445 230371 242890 460742 485780 488731 921484 977462 1151855 1954924 2303710 2443655 4607420 4887310 9774620 52294217 104588434 209176868 261471085 522942170 1045884340