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446744340 = 2232571918661
BaseRepresentation
bin11010101000001…
…100011100010100
31011010121222000200
4122220030130110
51403331304330
6112155140500
714033156430
oct3250143424
91133558020
10446744340
1120a1a26a9
12105744730
1371729b83
14434919c0
1529348a60
hex1aa0c714

446744340 has 144 divisors (see below), whose sum is σ = 1630312320. Its totient is φ = 96733440.

The previous prime is 446744339. The next prime is 446744357. The reversal of 446744340 is 43447644.

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 = 446744295 and 446744304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14610 + ... + 33270.

Almost surely, 2446744340 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 446744340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815156160).

446744340 is an abundant number, since it is smaller than the sum of its proper divisors (1183567980).

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

446744340 is a wasteful number, since it uses less digits than its factorization.

446744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18702 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 446744340 is about 21136.3274955703. The cubic root of 446744340 is about 764.4569258530.

The spelling of 446744340 in words is "four hundred forty-six million, seven hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 18661 23940 37322 55983 74644 93305 111966 130627 167949 186610 223932 261254 279915 335898 354559 373220 391881 522508 559830 653135 671796 709118 783762 839745 1063677 1119660 1175643 1306270 1418236 1567524 1679490 1772795 1959405 2127354 2351286 2481913 2612540 3191031 3358980 3545590 3918810 4254708 4702572 4963826 5318385 5878215 6382062 7091180 7445739 7837620 9927652 10636770 11756430 12409565 12764124 14891478 15955155 21273540 22337217 23512860 24819130 29782956 31910310 37228695 44674434 49638260 63820620 74457390 89348868 111686085 148914780 223372170 446744340