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341030142400 = 2652281758519
BaseRepresentation
bin1001111011001101111…
…10110000000111000000
31012121020222101012221211
410331212332300013000
521041412204024100
6420400031255504
733432021244633
oct4754676600700
91177228335854
10341030142400
111216a26965a2
125611637a594
132620b44308c
1412712465c1a
158d0e82d1ba
hex4f66fb01c0

341030142400 has 84 divisors (see below), whose sum is σ = 842134693680. Its totient is φ = 135926425600.

The previous prime is 341030142371. The next prime is 341030142403. The reversal of 341030142400 is 4241030143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341030142403) 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, 70341 + ... + 828859.

It is an arithmetic number, because the mean of its divisors is an integer number (10025413020).

Almost surely, 2341030142400 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 341030142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421067346840).

341030142400 is an abundant number, since it is smaller than the sum of its proper divisors (501104551280).

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

341030142400 is a wasteful number, since it uses less digits than its factorization.

341030142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758822 (or 758807 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 341030142400 its reverse (4241030143), we get a palindrome (345271172543).

The spelling of 341030142400 in words is "three hundred forty-one billion, thirty million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 281 320 400 562 800 1124 1405 1600 2248 2810 4496 5620 7025 8992 11240 14050 17984 22480 28100 44960 56200 89920 112400 224800 449600 758519 1517038 3034076 3792595 6068152 7585190 12136304 15170380 18962975 24272608 30340760 37925950 48545216 60681520 75851900 121363040 151703800 213143839 242726080 303407600 426287678 606815200 852575356 1065719195 1213630400 1705150712 2131438390 3410301424 4262876780 5328595975 6820602848 8525753560 10657191950 13641205696 17051507120 21314383900 34103014240 42628767800 68206028480 85257535600 170515071200 341030142400