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3401034208 = 2511131395347
BaseRepresentation
bin1100101010110111…
…1010100111100000
322210000122102211221
43022231322213200
523431131043313
61321251544424
7150165212425
oct31255724740
98700572757
103401034208
111495882380
127aabbb114
134227c87a0
14243999d4c
1514d8adc8d
hexcab7a9e0

3401034208 has 96 divisors (see below), whose sum is σ = 7924452480. Its totient is φ = 1416476160.

The previous prime is 3401034139. The next prime is 3401034233. The reversal of 3401034208 is 8024301043.

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 15 ways as a sum of consecutive naturals, for example, 633391 + ... + 638737.

It is an arithmetic number, because the mean of its divisors is an integer number (82546380).

Almost surely, 23401034208 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 3401034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962226240).

3401034208 is an abundant number, since it is smaller than the sum of its proper divisors (4523418272).

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

3401034208 is a wasteful number, since it uses less digits than its factorization.

3401034208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3401034208 is about 58318.3865346084. The cubic root of 3401034208 is about 1503.8470447666.

The spelling of 3401034208 in words is "three billion, four hundred one million, thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 139 143 176 208 278 286 352 416 556 572 1112 1144 1529 1807 2224 2288 3058 3614 4448 4576 5347 6116 7228 10694 12232 14456 19877 21388 24464 28912 39754 42776 48928 57824 58817 69511 79508 85552 117634 139022 159016 171104 235268 278044 318032 470536 556088 636064 743233 764621 941072 1112176 1486466 1529242 1882144 2224352 2972932 3058484 5945864 6116968 8175563 9662029 11891728 12233936 16351126 19324058 23783456 24467872 32702252 38648116 65404504 77296232 106282319 130809008 154592464 212564638 261618016 309184928 425129276 850258552 1700517104 3401034208