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445220360 = 23513267983
BaseRepresentation
bin11010100010011…
…000011000001000
31011000202112111222
4122202120120020
51402434022420
6112102341212
714014211354
oct3242303010
91130675458
10445220360
11209351712
1210512a808
1371315300
14431b6464
1529147225
hex1a898608

445220360 has 96 divisors (see below), whose sum is σ = 1102040640. Its totient is φ = 161770752.

The previous prime is 445220359. The next prime is 445220389. The reversal of 445220360 is 63022544.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452429 + ... + 453411.

It is an arithmetic number, because the mean of its divisors is an integer number (11479590).

Almost surely, 2445220360 is an apocalyptic number.

445220360 is a gapful number since it is divisible by the number (40) 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 445220360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551020320).

445220360 is an abundant number, since it is smaller than the sum of its proper divisors (656820280).

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

445220360 is a wasteful number, since it uses less digits than its factorization.

445220360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 445220360 is about 21100.2454962022. The cubic root of 445220360 is about 763.5866709745.

The spelling of 445220360 in words is "four hundred forty-five million, two hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 169 260 268 335 338 520 536 670 676 845 871 983 1340 1352 1690 1742 1966 2680 3380 3484 3932 4355 4915 6760 6968 7864 8710 9830 11323 12779 17420 19660 22646 25558 34840 39320 45292 51116 56615 63895 65861 90584 102232 113230 127790 131722 166127 226460 255580 263444 329305 332254 452920 511160 526888 658610 664508 830635 856193 1317220 1329016 1661270 1712386 2634440 3322540 3424772 4280965 6645080 6849544 8561930 11130509 17123860 22261018 34247720 44522036 55652545 89044072 111305090 222610180 445220360