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3407407374 = 237229213781
BaseRepresentation
bin1100101100011000…
…1110100100001110
322210110122020012010
43023012032210032
523434244013444
61322040322050
7150303325200
oct31306164416
98713566163
103407407374
111499435658
127b1173326
13423c1a5a7
14244778770
1514e21c2b9
hexcb18e90e

3407407374 has 72 divisors (see below), whose sum is σ = 8210819448. Its totient is φ = 939906240.

The previous prime is 3407407361. The next prime is 3407407391. The reversal of 3407407374 is 4737047043.

It is a super-2 number, since 2×34074073742 = 23220850024779151752, which contains 22 as substring.

It is a congruent 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, 240364 + ... + 254144.

It is an arithmetic number, because the mean of its divisors is an integer number (114039159).

Almost surely, 23407407374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407407374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105409724).

3407407374 is an abundant number, since it is smaller than the sum of its proper divisors (4803412074).

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

3407407374 is a wasteful number, since it uses less digits than its factorization.

3407407374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

The square root of 3407407374 is about 58373.0020985729. The cubic root of 3407407374 is about 1504.7858069069.

The spelling of 3407407374 in words is "three billion, four hundred seven million, four hundred seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 841 1218 1421 1682 2523 2842 4263 5046 5887 8526 11774 13781 17661 27562 35322 41209 41343 82418 82686 96467 123627 192934 247254 289401 399649 578802 675269 799298 1198947 1350538 2025807 2397894 2797543 4051614 5595086 8392629 11589821 16785258 19582801 23179642 34769463 39165602 58748403 69538926 81128747 117496806 162257494 243386241 486772482 567901229 1135802458 1703703687 3407407374