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3500054400 = 27352443823
BaseRepresentation
bin1101000010011110…
…1001011110000000
3100000220222012000110
43100213221132000
524132003220100
61335150151320
7152506654143
oct32047513600
910026865013
103500054400
111536764747
128181b2540
1343a18830b
14252bb405a
1515741d250
hexd09e9780

3500054400 has 192 divisors, whose sum is σ = 11568366720. Its totient is φ = 930109440.

The previous prime is 3500054357. The next prime is 3500054407. The reversal of 3500054400 is 44500053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4252389 + ... + 4253211.

It is an arithmetic number, because the mean of its divisors is an integer number (60251910).

Almost surely, 23500054400 is an apocalyptic number.

3500054400 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 3500054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784183360).

3500054400 is an abundant number, since it is smaller than the sum of its proper divisors (8068312320).

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

3500054400 is a wasteful number, since it uses less digits than its factorization.

3500054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3500054400 is about 59161.2575931242. The cubic root of 3500054400 is about 1518.3023521085.

Adding to 3500054400 its reverse (44500053), we get a palindrome (3544554453).

The spelling of 3500054400 in words is "three billion, five hundred million, fifty-four thousand, four hundred".