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3400203344 = 242347732693
BaseRepresentation
bin1100101010101010…
…1111110001010000
322202222002020010012
43022222233301100
523430423001334
61321222054052
7150155152166
oct31252576120
98688066105
103400203344
11149536510a
127aa87a328
13422597555
14243821236
1514d7979ce
hexcaaafc50

3400203344 has 80 divisors (see below), whose sum is σ = 7119401472. Its totient is φ = 1569199104.

The previous prime is 3400203343. The next prime is 3400203361. The reversal of 3400203344 is 4433020043.

It is a happy number.

3400203344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34002033442 = 23122765561097564672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400203341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261262 + ... + 1263954.

Almost surely, 23400203344 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 3400203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559700736).

3400203344 is an abundant number, since it is smaller than the sum of its proper divisors (3719198128).

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

3400203344 is a wasteful number, since it uses less digits than its factorization.

3400203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3400203344 is about 58311.2625827978. The cubic root of 3400203344 is about 1503.7245727911.

Adding to 3400203344 its reverse (4433020043), we get a palindrome (7833223387).

The spelling of 3400203344 in words is "three billion, four hundred million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 46 47 73 92 94 146 184 188 292 368 376 584 752 1081 1168 1679 2162 2693 3358 3431 4324 5386 6716 6862 8648 10772 13432 13724 17296 21544 26864 27448 43088 54896 61939 78913 123878 126571 157826 196589 247756 253142 315652 393178 495512 506284 631304 786356 991024 1012568 1262608 1572712 2025136 2911133 3145424 4521547 5822266 9043094 9239683 11644532 18086188 18479366 23289064 36172376 36958732 46578128 72344752 73917464 147834928 212512709 425025418 850050836 1700101672 3400203344