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342905955200 = 2752347308813
BaseRepresentation
bin1001111110101101100…
…10011010001110000000
31012210002201001101100222
410333112302122032000
521104232411031300
6421310120402212
733526346345624
oct4772662321600
91183081041328
10342905955200
11122475521506
125655a616368
1326449c58693
141284d635184
158dbe35e785
hex4fd6c9a380

342905955200 has 96 divisors (see below), whose sum is σ = 849528785160. Its totient is φ = 136766658560.

The previous prime is 342905955173. The next prime is 342905955209. The reversal of 342905955200 is 2559509243.

It is a super-2 number, since 2×3429059552002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342905955209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955994 + ... + 1264806.

Almost surely, 2342905955200 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 342905955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424764392580).

342905955200 is an abundant number, since it is smaller than the sum of its proper divisors (506622829960).

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

342905955200 is a wasteful number, since it uses less digits than its factorization.

342905955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309184 (or 309167 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 342905955200 in words is "three hundred forty-two billion, nine hundred five million, nine hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 347 400 640 694 800 1388 1600 1735 2776 3200 3470 5552 6940 8675 11104 13880 17350 22208 27760 34700 44416 55520 69400 111040 138800 222080 277600 308813 555200 617626 1110400 1235252 1544065 2470504 3088130 4941008 6176260 7720325 9882016 12352520 15440650 19764032 24705040 30881300 39528064 49410080 61762600 98820160 107158111 123525200 197640320 214316222 247050400 428632444 494100800 535790555 857264888 988201600 1071581110 1714529776 2143162220 2678952775 3429059552 4286324440 5357905550 6858119104 8572648880 10715811100 13716238208 17145297760 21431622200 34290595520 42863244400 68581191040 85726488800 171452977600 342905955200