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3314420172 = 2232724214463
BaseRepresentation
bin1100010110001110…
…0000100111001100
322112222122222201200
43011203200213030
523241442421142
61304515305500
7145064051400
oct30543404714
98488588650
103314420172
1114509a3a28
12785bab290
1340a890a8b
14236291100
15145ea064c
hexc58e09cc

3314420172 has 108 divisors (see below), whose sum is σ = 9771312096. Its totient is φ = 944516160.

The previous prime is 3314420099. The next prime is 3314420183. The reversal of 3314420172 is 2710244133.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 740413 + ... + 744875.

It is an arithmetic number, because the mean of its divisors is an integer number (90475112).

Almost surely, 23314420172 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 3314420172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885656048).

3314420172 is an abundant number, since it is smaller than the sum of its proper divisors (6456891924).

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

3314420172 is a wasteful number, since it uses less digits than its factorization.

3314420172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3314420172 is about 57571.0011377256. The cubic root of 3314420172 is about 1490.9709708029.

The spelling of 3314420172 in words is "three billion, three hundred fourteen million, four hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 421 441 588 842 882 1263 1684 1764 2526 2947 3789 4463 5052 5894 7578 8841 8926 11788 13389 15156 17682 17852 20629 26523 26778 31241 35364 40167 41258 53046 53556 61887 62482 80334 82516 93723 106092 123774 124964 160668 185661 187446 218687 247548 281169 371322 374892 437374 562338 656061 742644 874748 1124676 1312122 1878923 1968183 2624244 3757846 3936366 5636769 7515692 7872732 11273538 13152461 16910307 22547076 26304922 33820614 39457383 52609844 67641228 78914766 92067227 118372149 157829532 184134454 236744298 276201681 368268908 473488596 552403362 828605043 1104806724 1657210086 3314420172