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320403630456 = 23347135433517
BaseRepresentation
bin1001010100110011000…
…10110110100101111000
31010122000110221211220000
410222121202312211320
520222141312133311
6403105201433000
732101620631410
oct4523142664570
91118013854800
10320403630456
11113978550908
125211a63b760
13242a2019420
1411716c95640
158503aa9056
hex4a998b6978

320403630456 has 160 divisors (see below), whose sum is σ = 1104525539040. Its totient is φ = 84502040832.

The previous prime is 320403630451. The next prime is 320403630493. The reversal of 320403630456 is 654036304023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 320403630456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320403630451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2657791 + ... + 2775726.

It is an arithmetic number, because the mean of its divisors is an integer number (6903284619).

Almost surely, 2320403630456 is an apocalyptic number.

320403630456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320403630456 is an abundant number, since it is smaller than the sum of its proper divisors (784121908584).

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

320403630456 is a wasteful number, since it uses less digits than its factorization.

320403630456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433555 (or 5433542 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 320403630456 its reverse (654036304023), we get a palindrome (974439934479).

The spelling of 320403630456 in words is "three hundred twenty billion, four hundred three million, six hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 5433517 10867034 16300551 21734068 32601102 38034619 43468136 48901653 65202204 70635721 76069238 97803306 114103857 130404408 141271442 146704959 152138476 195606612 211907163 228207714 282542884 293409918 304276952 342311571 391213224 423814326 440114877 456415428 494450047 565085768 586819836 635721489 684623142 847628652 880229754 912830856 988900094 1026934713 1173639672 1271442978 1369246284 1483350141 1695257304 1760459508 1907164467 1977800188 2053869426 2542885956 2738492568 2966700282 3080804139 3520919016 3814328934 3955600376 4107738852 4450050423 5085771912 5721493401 5933400564 6161608278 7628657868 8215477704 8900100846 11442986802 11866801128 12323216556 13350151269 15257315736 17800201692 22885973604 24646433112 26700302538 35600403384 40050453807 45771947208 53400605076 80100907614 106801210152 160201815228 320403630456