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3439441640 = 235711816691
BaseRepresentation
bin1100110100000001…
…1011011011101000
322212200220201221102
43031000123123220
524020444113030
61325143100532
7151142525435
oct31500333350
98780821842
103439441640
111505525458
127bba41748
1342a75548b
14248b16b8c
15151e48c45
hexcd01b6e8

3439441640 has 64 divisors (see below), whose sum is σ = 7892277120. Its totient is φ = 1348704000.

The previous prime is 3439441637. The next prime is 3439441669. The reversal of 3439441640 is 461449343.

It is a junction number, because it is equal to n+sod(n) for n = 3439441594 and 3439441603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510695 + ... + 517385.

It is an arithmetic number, because the mean of its divisors is an integer number (123316830).

Almost surely, 23439441640 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 3439441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946138560).

3439441640 is an abundant number, since it is smaller than the sum of its proper divisors (4452835480).

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

3439441640 is a wasteful number, since it uses less digits than its factorization.

3439441640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 3439441640 is about 58646.7530217999. The cubic root of 3439441640 is about 1509.4867837630.

The spelling of 3439441640 in words is "three billion, four hundred thirty-nine million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 181 284 355 362 568 710 724 905 1420 1448 1810 2840 3620 6691 7240 12851 13382 25702 26764 33455 51404 53528 64255 66910 102808 128510 133820 257020 267640 475061 514040 950122 1211071 1900244 2375305 2422142 3800488 4750610 4844284 6055355 9501220 9688568 12110710 19002440 24221420 48442840 85986041 171972082 343944164 429930205 687888328 859860410 1719720820 3439441640