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342400110400 = 26521511417219
BaseRepresentation
bin1001111101110001010…
…00110000111101000000
31012201210110012210202101
410332320220300331000
521102213412013100
6421144010400144
733510664626505
oct4767050607500
91181713183671
10342400110400
11122235a32857
1256439130054
132639920812a
141280239b4ac
158d8ec3e86a
hex4fb8a30f40

342400110400 has 84 divisors (see below), whose sum is σ = 848098461280. Its totient is φ = 136052928000.

The previous prime is 342400110391. The next prime is 342400110407. The reversal of 342400110400 is 4011004243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342400110407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467010 + ... + 950209.

Almost surely, 2342400110400 is an apocalyptic number.

It is an amenable number.

342400110400 is an abundant number, since it is smaller than the sum of its proper divisors (505698350880).

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

342400110400 is a wasteful number, since it uses less digits than its factorization.

342400110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417392 (or 1417377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 342400110400 its reverse (4011004243), we get a palindrome (346411114643).

The spelling of 342400110400 in words is "three hundred forty-two billion, four hundred million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 151 160 200 302 320 400 604 755 800 1208 1510 1600 2416 3020 3775 4832 6040 7550 9664 12080 15100 24160 30200 48320 60400 120800 241600 1417219 2834438 5668876 7086095 11337752 14172190 22675504 28344380 35430475 45351008 56688760 70860950 90702016 113377520 141721900 214000069 226755040 283443800 428000138 453510080 566887600 856000276 1070000345 1133775200 1712000552 2140000690 2267550400 3424001104 4280001380 5350001725 6848002208 8560002760 10700003450 13696004416 17120005520 21400006900 34240011040 42800013800 68480022080 85600027600 171200055200 342400110400