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1045673712 = 2435614409
BaseRepresentation
bin111110010100111…
…011011011110000
32200212121201200000
4332110323123300
54120143024322
6251432230000
734625036256
oct7624733360
92625551600
101045673712
1149728a156
1225223b300
1313883c355
149cc3a5d6
1561c043ac
hex3e53b6f0

1045673712 has 120 divisors (see below), whose sum is σ = 3085271280. Its totient is φ = 342766080.

The previous prime is 1045673711. The next prime is 1045673749. The reversal of 1045673712 is 2173765401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045673711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234964 + ... + 239372.

It is an arithmetic number, because the mean of its divisors is an integer number (25710594).

Almost surely, 21045673712 is an apocalyptic number.

1045673712 is a gapful number since it is divisible by the number (12) 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 1045673712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542635640).

1045673712 is an abundant number, since it is smaller than the sum of its proper divisors (2039597568).

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

1045673712 is an equidigital number, since it uses as much as digits as its factorization.

1045673712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1045673712 is about 32336.8785135486. The cubic root of 1045673712 is about 1014.9984912658.

The spelling of 1045673712 in words is "one billion, forty-five million, six hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 732 972 976 1098 1296 1464 1647 1944 2196 2928 3294 3888 4392 4409 4941 6588 8784 8818 9882 13176 13227 14823 17636 19764 26352 26454 29646 35272 39528 39681 52908 59292 70544 79056 79362 105816 118584 119043 158724 211632 237168 238086 268949 317448 357129 476172 537898 634896 714258 806847 952344 1071387 1075796 1428516 1613694 1904688 2142774 2151592 2420541 2857032 3227388 4285548 4303184 4841082 5714064 6454776 7261623 8571096 9682164 12909552 14523246 17142192 19364328 21784869 29046492 38728656 43569738 58092984 65354607 87139476 116185968 130709214 174278952 261418428 348557904 522836856 1045673712