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34020303140400 = 24352233593433481
BaseRepresentation
bin1111011110000111110000…
…00101010111011000110000
311110110022100102022212010020
413233003320011113120300
513424342040100443100
6200204413404003440
710110612553265433
oct757037005273060
9143408312285106
1034020303140400
11a926a252405a5
123995442830580
1315ca14066c915
1485883cd6181a
153dee2d42e5a0
hex1ef0f8157630

34020303140400 has 240 divisors, whose sum is σ = 114033353541120. Its totient is φ = 8653468313600.

The previous prime is 34020303140321. The next prime is 34020303140401. The reversal of 34020303140400 is 404130302043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×340203031404002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34020303140401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8191660 + ... + 11625140.

It is an arithmetic number, because the mean of its divisors is an integer number (475138973088).

Almost surely, 234020303140400 is an apocalyptic number.

34020303140400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020303140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57016676770560).

34020303140400 is an abundant number, since it is smaller than the sum of its proper divisors (80013050400720).

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

34020303140400 is a wasteful number, since it uses less digits than its factorization.

34020303140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433884 (or 3433873 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34020303140400 its reverse (404130302043), we get a palindrome (34424433442443).

The spelling of 34020303140400 in words is "thirty-four trillion, twenty billion, three hundred three million, one hundred forty thousand, four hundred".