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3374701974 = 233731972969
BaseRepresentation
bin1100100100100101…
…1101110110010110
322201012002121211000
43021021131312112
523402410430344
61314511324130
7146425331160
oct31111356626
98635077730
103374701974
111481a275a6
127a2220646
1341a209097
142402a3930
1514b40ba69
hexc925dd96

3374701974 has 128 divisors (see below), whose sum is σ = 8941363200. Its totient is φ = 923166720.

The previous prime is 3374701973. The next prime is 3374702017. The reversal of 3374701974 is 4791074733.

It is a super-2 number, since 2×33747019742 = 22777226826638993352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374701973) 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 63 ways as a sum of consecutive naturals, for example, 1135162 + ... + 1138130.

It is an arithmetic number, because the mean of its divisors is an integer number (69854400).

Almost surely, 23374701974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3374701974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470681600).

3374701974 is an abundant number, since it is smaller than the sum of its proper divisors (5566661226).

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

3374701974 is a wasteful number, since it uses less digits than its factorization.

3374701974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3374701974 is about 58092.1851370733. The cubic root of 3374701974 is about 1499.9558467003.

The spelling of 3374701974 in words is "three billion, three hundred seventy-four million, seven hundred one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 97 126 186 189 194 217 279 291 378 434 558 582 651 679 837 873 1302 1358 1674 1746 1953 2037 2619 2969 3007 3906 4074 5238 5859 5938 6014 6111 8907 9021 11718 12222 17814 18042 18333 20783 21049 26721 27063 36666 41566 42098 53442 54126 62349 63147 80163 81189 92039 124698 126294 160326 162378 184078 187047 189441 276117 287993 374094 378882 552234 561141 568323 575986 644273 828351 863979 1122282 1136646 1288546 1656702 1727958 1932819 2015951 2485053 2591937 3865638 4031902 4970106 5183874 5798457 6047853 7775811 8927783 11596914 12095706 15551622 17395371 17855566 18143559 26783349 34790742 36287118 53566698 54430677 62494481 80350047 108861354 124988962 160700094 187483443 241050141 374966886 482100282 562450329 1124900658 1687350987 3374701974