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445430916 = 223271031312
BaseRepresentation
bin11010100011001…
…011110010000100
31011001011020100100
4122203023302010
51403012242131
6112111044100
714016046260
oct3243136204
91131136310
10445430916
11209485927
12105210630
137138a0b8
144322d0a0
15291897e6
hex1a8cbc84

445430916 has 108 divisors (see below), whose sum is σ = 1309287616. Its totient is φ = 125068320.

The previous prime is 445430897. The next prime is 445430969. The reversal of 445430916 is 619034544.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3400171 + ... + 3400301.

Almost surely, 2445430916 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 445430916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654643808).

445430916 is an abundant number, since it is smaller than the sum of its proper divisors (863856700).

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

445430916 is a wasteful number, since it uses less digits than its factorization.

445430916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 445430916 is about 21105.2343270574. The cubic root of 445430916 is about 763.7070251712.

The spelling of 445430916 in words is "four hundred forty-five million, four hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 131 206 252 262 309 393 412 524 618 721 786 917 927 1179 1236 1442 1572 1834 1854 2163 2358 2751 2884 3668 3708 4326 4716 5502 6489 8253 8652 11004 12978 13493 16506 17161 25956 26986 33012 34322 40479 51483 53972 68644 80958 94451 102966 120127 121437 154449 161916 188902 205932 240254 242874 283353 308898 360381 377804 480508 485748 566706 617796 720762 850059 1081143 1133412 1441524 1700118 1767583 2162286 3400236 3535166 4324572 5302749 7070332 10605498 12373081 15908247 21210996 24746162 31816494 37119243 49492324 63632988 74238486 111357729 148476972 222715458 445430916