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1069408008 = 2337193217
BaseRepresentation
bin111111101111011…
…101111100001000
32202112021120000000
4333233131330020
54142232024013
6254041043000
735333550414
oct7757357410
92675246000
101069408008
114a9720079
1225a186460
1314072c406
14a2057d44
1563d41973
hex3fbddf08

1069408008 has 128 divisors (see below), whose sum is σ = 3166512000. Its totient is φ = 337602816.

The previous prime is 1069407991. The next prime is 1069408013. The reversal of 1069408008 is 8008049601.

It is a happy number.

It is a super-2 number, since 2×10694080082 = 2287266975149056128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330816 + ... + 334032.

It is an arithmetic number, because the mean of its divisors is an integer number (24738375).

Almost surely, 21069408008 is an apocalyptic number.

1069408008 is a gapful number since it is divisible by the number (18) 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 1069408008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583256000).

1069408008 is an abundant number, since it is smaller than the sum of its proper divisors (2097103992).

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

1069408008 is an equidigital number, since it uses as much as digits as its factorization.

1069408008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1069408008 is about 32701.8043538885. The cubic root of 1069408008 is about 1022.6204593030.

The spelling of 1069408008 in words is "one billion, sixty-nine million, four hundred eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 3217 4104 4374 4617 5832 6156 6434 8748 9234 9651 12312 12868 13851 17496 18468 19302 25736 27702 28953 36936 38604 41553 55404 57906 61123 77208 83106 86859 110808 115812 122246 166212 173718 183369 231624 244492 260577 332424 347436 366738 488984 521154 550107 694872 733476 781731 1042308 1100214 1466952 1563462 1650321 2084616 2200428 2345193 3126924 3300642 4400856 4690386 4950963 6253848 6601284 7035579 9380772 9901926 13202568 14071158 14852889 18761544 19803852 28142316 29705778 39607704 44558667 56284632 59411556 89117334 118823112 133676001 178234668 267352002 356469336 534704004 1069408008