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374814216 = 23347194349
BaseRepresentation
bin10110010101110…
…011011000001000
3222010021112110000
4112111303120020
51231423023331
6101105323000
712200603550
oct2625633010
9863245400
10374814216
11182633517
12a5636460
135c86397a
1437aca160
1522d8b0e6
hex16573608

374814216 has 160 divisors (see below), whose sum is σ = 1263240000. Its totient is φ = 101430144.

The previous prime is 374814199. The next prime is 374814221. The reversal of 374814216 is 612418473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84010 + ... + 88358.

It is an arithmetic number, because the mean of its divisors is an integer number (7895250).

Almost surely, 2374814216 is an apocalyptic number.

374814216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374814216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631620000).

374814216 is an abundant number, since it is smaller than the sum of its proper divisors (888425784).

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

374814216 is a wasteful number, since it uses less digits than its factorization.

374814216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4380 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 374814216 is about 19360.1192145090. The cubic root of 374814216 is about 721.0056779735.

The spelling of 374814216 in words is "three hundred seventy-four million, eight hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4349 4536 4788 6156 7182 8698 9576 10773 12312 13047 14364 17396 21546 26094 28728 30443 34792 39141 43092 52188 60886 78282 82631 86184 91329 104376 117423 121772 156564 165262 182658 234846 243544 247893 273987 313128 330524 352269 365316 469692 495786 547974 578417 661048 704538 730632 743679 821961 939384 991572 1095948 1156834 1409076 1487358 1643922 1735251 1983144 2191896 2231037 2313668 2465883 2818152 2974716 3287844 3470502 4462074 4627336 4931766 5205753 5949432 6575688 6693111 6941004 8924148 9863532 10411506 13386222 13882008 15617259 17848296 19727064 20823012 26772444 31234518 41646024 46851777 53544888 62469036 93703554 124938072 187407108 374814216