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3420686444 = 2273110338261
BaseRepresentation
bin1100101111100011…
…1000100001101100
322211101121212122112
43023320320201230
524001143431234
61323233103152
7150524232530
oct31370704154
98741555575
103420686444
1114a598539a
127b56b7ab8
134268b9826
14246433bc0
15150491ace
hexcbe3886c

3420686444 has 48 divisors (see below), whose sum is σ = 7130812416. Its totient is φ = 1404907200.

The previous prime is 3420686429. The next prime is 3420686449. The reversal of 3420686444 is 4446860243.

3420686444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3420686449) 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, 70274 + ... + 108534.

It is an arithmetic number, because the mean of its divisors is an integer number (148558592).

Almost surely, 23420686444 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 3420686444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565406208).

3420686444 is an abundant number, since it is smaller than the sum of its proper divisors (3710125972).

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

3420686444 is a wasteful number, since it uses less digits than its factorization.

3420686444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38406 (or 38404 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The square root of 3420686444 is about 58486.6347467522. The cubic root of 3420686444 is about 1506.7380492150.

The spelling of 3420686444 in words is "three billion, four hundred twenty million, six hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 103 124 206 217 412 434 721 868 1442 2884 3193 6386 12772 22351 38261 44702 76522 89404 153044 267827 535654 1071308 1186091 2372182 3940883 4744364 7881766 8302637 15763532 16605274 27586181 33210548 55172362 110344724 122167373 244334746 488669492 855171611 1710343222 3420686444