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1445245344 = 2532172111399
BaseRepresentation
bin101011000100100…
…1011000110100000
310201201111001220100
41112021023012200
510424440322334
6355224342400
750546245164
oct12611130640
93651431810
101445245344
11681892244
12344014a00
131a056097a
14d9d2cca4
1586d30c99
hex5624b1a0

1445245344 has 144 divisors (see below), whose sum is σ = 4375425600. Its totient is φ = 450938880.

The previous prime is 1445245343. The next prime is 1445245349. The reversal of 1445245344 is 4435425441.

1445245344 is a `hidden beast` number, since 1 + 44 + 524 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1445245299 and 1445245308.

It is not an unprimeable number, because it can be changed into a prime (1445245343) 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, 1032357 + ... + 1033755.

It is an arithmetic number, because the mean of its divisors is an integer number (30384900).

Almost surely, 21445245344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187712800).

1445245344 is an abundant number, since it is smaller than the sum of its proper divisors (2930180256).

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

1445245344 is a wasteful number, since it uses less digits than its factorization.

1445245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 1445245344 is about 38016.3825738326. The cubic root of 1445245344 is about 1130.6127003311.

The spelling of 1445245344 in words is "one billion, four hundred forty-five million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 211 272 288 306 408 422 544 612 633 816 844 1224 1266 1399 1632 1688 1899 2448 2532 2798 3376 3587 3798 4197 4896 5064 5596 6752 7174 7596 8394 10128 10761 11192 12591 14348 15192 16788 20256 21522 22384 23783 25182 28696 30384 32283 33576 43044 44768 47566 50364 57392 60768 64566 67152 71349 86088 95132 100728 114784 129132 134304 142698 172176 190264 201456 214047 258264 285396 295189 344352 380528 402912 428094 516528 570792 590378 761056 856188 885567 1033056 1141584 1180756 1712376 1771134 2283168 2361512 2656701 3424752 3542268 4723024 5018213 5313402 6849504 7084536 9446048 10036426 10626804 14169072 15054639 20072852 21253608 28338144 30109278 40145704 42507216 45163917 60218556 80291408 85014432 90327834 120437112 160582816 180655668 240874224 361311336 481748448 722622672 1445245344