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3469933216 = 251967103827
BaseRepresentation
bin1100111011010010…
…1111101010100000
322221211021212112001
43032310233222200
524101300330331
61332152413344
7151662642241
oct31664575240
98854255461
103469933216
111520761202
1280a0a7254
13433b70129
1424cbb2cc8
1515496d561
hexced2faa0

3469933216 has 96 divisors (see below), whose sum is σ = 7378076160. Its totient is φ = 1601462016.

The previous prime is 3469933213. The next prime is 3469933231. The reversal of 3469933216 is 6123399643.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3469933213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4195395 + ... + 4196221.

It is an arithmetic number, because the mean of its divisors is an integer number (76854960).

Almost surely, 23469933216 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 3469933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689038080).

3469933216 is an abundant number, since it is smaller than the sum of its proper divisors (3908142944).

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

3469933216 is a wasteful number, since it uses less digits than its factorization.

3469933216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its digits is 629856, while the sum is 46.

The square root of 3469933216 is about 58906.1390349087. The cubic root of 3469933216 is about 1513.9343355187.

The spelling of 3469933216 in words is "three billion, four hundred sixty-nine million, nine hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 67 76 103 134 152 206 268 304 412 536 608 824 827 1072 1273 1648 1654 1957 2144 2546 3296 3308 3914 5092 6616 6901 7828 10184 13232 13802 15656 15713 20368 26464 27604 31312 31426 40736 55208 55409 62624 62852 85181 110416 110818 125704 131119 170362 220832 221636 251408 262238 340724 443272 502816 524476 681448 886544 1048952 1052771 1362896 1618439 1773088 2097904 2105542 2725792 3236878 4195808 4211084 5707127 6473756 8422168 11414254 12947512 16844336 22828508 25895024 33688672 45657016 51790048 91314032 108435413 182628064 216870826 433741652 867483304 1734966608 3469933216