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3654681344 = 2873269727
BaseRepresentation
bin1101100111010110…
…0000001100000000
3100102200221001022022
43121311200030000
524441044300334
61402352301012
7156365164436
oct33165401400
910380831268
103654681344
111605a77206
1285bb41768
13463217252
14269544d56
15165cb382e
hexd9d60300

3654681344 has 72 divisors (see below), whose sum is σ = 7432719840. Its totient is φ = 1793138688.

The previous prime is 3654681341. The next prime is 3654681353. The reversal of 3654681344 is 4431864563.

It is a junction number, because it is equal to n+sod(n) for n = 3654681295 and 3654681304.

It is not an unprimeable number, because it can be changed into a prime (3654681341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5026709 + ... + 5027435.

It is an arithmetic number, because the mean of its divisors is an integer number (103232220).

Almost surely, 23654681344 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 3654681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716359920).

3654681344 is an abundant number, since it is smaller than the sum of its proper divisors (3778038496).

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

3654681344 is an equidigital number, since it uses as much as digits as its factorization.

3654681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The square root of 3654681344 is about 60453.9605319618. The cubic root of 3654681344 is about 1540.3396878154.

The spelling of 3654681344 in words is "three billion, six hundred fifty-four million, six hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 269 292 538 584 727 1076 1168 1454 2152 2336 2908 4304 4672 5816 8608 9344 11632 17216 18688 19637 23264 34432 39274 46528 53071 68864 78548 93056 106142 157096 186112 195563 212284 314192 391126 424568 628384 782252 849136 1256768 1564504 1698272 2513536 3129008 3396544 5027072 6258016 6793088 12516032 13586176 14276099 25032064 28552198 50064128 57104396 114208792 228417584 456835168 913670336 1827340672 3654681344