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3400444144 = 243115691201
BaseRepresentation
bin1100101010101110…
…1010100011110000
322202222112110102201
43022223222203300
523431003203034
61321231152544
7150160204216
oct31253524360
98688473381
103400444144
11149550a019
127aa975754
13422650036
14243884cb6
1514d7e4014
hexcaaea8f0

3400444144 has 40 divisors (see below), whose sum is σ = 6626674080. Its totient is φ = 1690368000.

The previous prime is 3400444133. The next prime is 3400444169. The reversal of 3400444144 is 4414440043.

3400444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2830744 + ... + 2831944.

It is an arithmetic number, because the mean of its divisors is an integer number (165666852).

Almost surely, 23400444144 is an apocalyptic number.

It is an amenable number.

3400444144 is a deficient number, since it is larger than the sum of its proper divisors (3226229936).

3400444144 is a wasteful number, since it uses less digits than its factorization.

3400444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3400444144 is about 58313.3273274643. The cubic root of 3400444144 is about 1503.7600695240.

Adding to 3400444144 its reverse (4414440043), we get a palindrome (7814884187).

The spelling of 3400444144 in words is "three billion, four hundred million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 311 569 622 1138 1201 1244 2276 2402 2488 4552 4804 4976 9104 9608 19216 176959 353918 373511 683369 707836 747022 1366738 1415672 1494044 2733476 2831344 2988088 5466952 5976176 10933904 212527759 425055518 850111036 1700222072 3400444144