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354335036440 = 23571197212227
BaseRepresentation
bin1010010100000000000…
…00111001010000011000
31020212121012212212102011
411022000000321100120
521301134232131230
6430440153315304
734412516054320
oct5120000712030
91225535785364
10354335036440
111272aa9883a0
125880a105b34
132754ba37348
14132154ba280
15933c908e2a
hex5280039418

354335036440 has 192 divisors, whose sum is σ = 1004413789440. Its totient is φ = 109294571520.

The previous prime is 354335036351. The next prime is 354335036441. The reversal of 354335036440 is 44630533453.

It is a super-2 number, since 2×3543350364402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354335036393 and 354335036402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354335036441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28973607 + ... + 28985833.

It is an arithmetic number, because the mean of its divisors is an integer number (5231321820).

Almost surely, 2354335036440 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 354335036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502206894720).

354335036440 is an abundant number, since it is smaller than the sum of its proper divisors (650078753000).

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

354335036440 is a wasteful number, since it uses less digits than its factorization.

354335036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12450 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 354335036440 its reverse (44630533453), we get a palindrome (398965569893).

The spelling of 354335036440 in words is "three hundred fifty-four billion, three hundred thirty-five million, thirty-six thousand, four hundred forty".