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3084429440 = 27516329567
BaseRepresentation
bin1011011111011000…
…1010100010000000
321221221220020202102
42313312022202000
522304103220230
61230022005532
7136302134441
oct26766124200
97857806672
103084429440
111343097544
12720b768a8
133a2035aa1
142139032c8
15130bc0045
hexb7d8a880

3084429440 has 64 divisors (see below), whose sum is σ = 7419202560. Its totient is φ = 1226161152.

The previous prime is 3084429433. The next prime is 3084429449. The reversal of 3084429440 is 449244803.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3084429394 and 3084429403.

It is not an unprimeable number, because it can be changed into a prime (3084429449) 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, 89537 + ... + 119103.

It is an arithmetic number, because the mean of its divisors is an integer number (115925040).

Almost surely, 23084429440 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 3084429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709601280).

3084429440 is an abundant number, since it is smaller than the sum of its proper divisors (4334773120).

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

3084429440 is a wasteful number, since it uses less digits than its factorization.

3084429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29749 (or 29737 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3084429440 is about 55537.6398490249. The cubic root of 3084429440 is about 1455.6544081763.

The spelling of 3084429440 in words is "three billion, eighty-four million, four hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 815 1304 1630 2608 3260 5216 6520 10432 13040 20864 26080 29567 52160 59134 104320 118268 147835 236536 295670 473072 591340 946144 1182680 1892288 2365360 3784576 4730720 4819421 9461440 9638842 18922880 19277684 24097105 38555368 48194210 77110736 96388420 154221472 192776840 308442944 385553680 616885888 771107360 1542214720 3084429440