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1645011312 = 243729792137
BaseRepresentation
bin110001000001100…
…1110000101110000
311020122101020021220
41202003032011300
511332110330222
6431122145040
755523236230
oct14203160560
94218336256
101645011312
1177462538a
1239aab2180
13202a65599
1411868dcc0
1599640b5c
hex620ce170

1645011312 has 160 divisors (see below), whose sum is σ = 5090150400. Its totient is φ = 447842304.

The previous prime is 1645011299. The next prime is 1645011331. The reversal of 1645011312 is 2131105461.

It is a happy number.

It is a super-2 number, since 2×16450113122 = 5412124433215922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768708 + ... + 770844.

It is an arithmetic number, because the mean of its divisors is an integer number (31813440).

Almost surely, 21645011312 is an apocalyptic number.

1645011312 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 1645011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545075200).

1645011312 is an abundant number, since it is smaller than the sum of its proper divisors (3445139088).

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

1645011312 is a wasteful number, since it uses less digits than its factorization.

1645011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1645011312 is about 40558.7390336534. The cubic root of 1645011312 is about 1180.4736468748.

Adding to 1645011312 its reverse (2131105461), we get a palindrome (3776116773).

The spelling of 1645011312 in words is "one billion, six hundred forty-five million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 79 84 87 112 116 158 168 174 203 232 237 316 336 348 406 464 474 553 609 632 696 812 948 1106 1218 1264 1392 1624 1659 1896 2137 2212 2291 2436 3248 3318 3792 4274 4424 4582 4872 6411 6636 6873 8548 8848 9164 9744 12822 13272 13746 14959 16037 17096 18328 25644 26544 27492 29918 32074 34192 36656 44877 48111 51288 54984 59836 61973 64148 89754 96222 102576 109968 119672 123946 128296 168823 179508 185919 192444 239344 247892 256592 337646 359016 371838 384888 433811 495784 506469 675292 718032 743676 769776 867622 991568 1012938 1181761 1301433 1350584 1487352 1735244 2025876 2363522 2602866 2701168 2974704 3470488 3545283 4051752 4727044 4895867 5205732 6940976 7090566 8103504 9454088 9791734 10411464 14181132 14687601 18908176 19583468 20822928 28362264 29375202 34271069 39166936 56724528 58750404 68542138 78333872 102813207 117500808 137084276 205626414 235001616 274168552 411252828 548337104 822505656 1645011312