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3426694400 = 28523471543
BaseRepresentation
bin1100110000111111…
…0011010100000000
322211210221010000102
43030033303110000
524004213210100
61324005541532
7150626264453
oct31417632400
98753833012
103426694400
1114a9309248
127b77148a8
13427c1132c
1424715949a
15150c7bcd5
hexcc3f3500

3426694400 has 108 divisors (see below), whose sum is σ = 8511559392. Its totient is φ = 1365841920.

The previous prime is 3426694391. The next prime is 3426694417. The reversal of 3426694400 is 44966243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2220029 + ... + 2221571.

Almost surely, 23426694400 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 3426694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255779696).

3426694400 is an abundant number, since it is smaller than the sum of its proper divisors (5084864992).

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

3426694400 is a wasteful number, since it uses less digits than its factorization.

3426694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 3426694400 is about 58537.9739997892. The cubic root of 3426694400 is about 1507.6196579652.

The spelling of 3426694400 in words is "three billion, four hundred twenty-six million, six hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 347 400 640 694 800 1280 1388 1543 1600 1735 2776 3086 3200 3470 5552 6172 6400 6940 7715 8675 11104 12344 13880 15430 17350 22208 24688 27760 30860 34700 38575 44416 49376 55520 61720 69400 77150 88832 98752 111040 123440 138800 154300 197504 222080 246880 277600 308600 395008 444160 493760 535421 555200 617200 987520 1070842 1110400 1234400 1975040 2141684 2220800 2468800 2677105 4283368 4937600 5354210 8566736 9875200 10708420 13385525 17133472 21416840 26771050 34266944 42833680 53542100 68533888 85667360 107084200 137067776 171334720 214168400 342669440 428336800 685338880 856673600 1713347200 3426694400