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3496667356 = 2271319717121
BaseRepresentation
bin1101000001101010…
…1110100011011100
3100000200121002212101
43100122232203130
524130121323411
61334545414444
7152436116320
oct32032564334
910020532771
103496667356
111534860a36
1281703a424
13439570750
14252571980
15156e9e8c1
hexd06ae8dc

3496667356 has 96 divisors (see below), whose sum is σ = 8040453120. Its totient is φ = 1291852800.

The previous prime is 3496667323. The next prime is 3496667359. The reversal of 3496667356 is 6537666943.

3496667356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3496667297 and 3496667306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496667359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487476 + ... + 494596.

It is an arithmetic number, because the mean of its divisors is an integer number (83754720).

Almost surely, 23496667356 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 3496667356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020226560).

3496667356 is an abundant number, since it is smaller than the sum of its proper divisors (4543785764).

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

3496667356 is a wasteful number, since it uses less digits than its factorization.

3496667356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7233 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 55.

The square root of 3496667356 is about 59132.6251404417. The cubic root of 3496667356 is about 1517.8124343326.

The spelling of 3496667356 in words is "three billion, four hundred ninety-six million, six hundred sixty-seven thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 71 76 91 133 142 182 247 266 284 364 494 497 532 923 988 994 1349 1729 1846 1988 2698 3458 3692 5396 6461 6916 7121 9443 12922 14242 17537 18886 25844 28484 35074 37772 49847 70148 92573 99694 122759 135299 185146 199388 245518 270598 370292 491036 505591 541196 648011 947093 1011182 1296022 1758887 1894186 2022364 2592044 3517774 3539137 3788372 6572683 7035548 7078274 9606229 12312209 13145366 14156548 19212458 24624418 26290732 38424916 46008781 49248836 67243603 92017562 124880977 134487206 184035124 249761954 268974412 499523908 874166839 1748333678 3496667356