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3413576348 = 2271347613271
BaseRepresentation
bin1100101101110111…
…0000101010011100
322210220020122102122
43023131300222130
523442333420343
61322420442112
7150406630430
oct31335605234
98726218378
103413576348
1114a1969486
127b3249338
1342529a480
142455029c0
1514ea3a068
hexcb770a9c

3413576348 has 96 divisors (see below), whose sum is σ = 7634178048. Its totient is φ = 1299628800.

The previous prime is 3413576311. The next prime is 3413576351. The reversal of 3413576348 is 8436753143.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3413576299 and 3413576308.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1041953 + ... + 1045223.

It is an arithmetic number, because the mean of its divisors is an integer number (79522688).

Almost surely, 23413576348 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 3413576348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817089024).

3413576348 is an abundant number, since it is smaller than the sum of its proper divisors (4220601700).

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

3413576348 is a wasteful number, since it uses less digits than its factorization.

3413576348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3401 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 3413576348 is about 58425.8191898068. The cubic root of 3413576348 is about 1505.6933774800.

The spelling of 3413576348 in words is "three billion, four hundred thirteen million, five hundred seventy-six thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 47 52 61 91 94 122 182 188 244 329 364 427 611 658 793 854 1222 1316 1586 1708 2444 2867 3172 3271 4277 5551 5734 6542 8554 11102 11468 13084 17108 20069 22204 22897 37271 40138 42523 45794 74542 80276 85046 91588 149084 153737 170092 199531 260897 297661 307474 399062 521794 595322 614948 798124 1043588 1076159 1190644 1396717 1998581 2152318 2593903 2793434 3997162 4304636 5187806 5586868 7994324 9377957 10375612 13990067 18157321 18755914 27980134 36314642 37511828 55960268 65645699 72629284 121913441 131291398 243826882 262582796 487653764 853394087 1706788174 3413576348