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2694840320 = 2215257
BaseRepresentation
bin1010000010100000…
…0000000000000000
320221210211001221202
42200220000000000
521004334342240
61123223440332
7123531523214
oct24050000000
96853731852
102694840320
111163192467
126325b60a8
1333c3cb093
141b7c8c944
1510b8b6315
hexa0a00000

2694840320 has 88 divisors (see below), whose sum is σ = 6492781044. Its totient is φ = 1073741824.

The previous prime is 2694840307. The next prime is 2694840347. The reversal of 2694840320 is 230484962.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2517630976 + 177209344 = 50176^2 + 13312^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 2694840320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485632 + ... + 10485888.

Almost surely, 22694840320 is an apocalyptic number.

2694840320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2694840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246390522).

2694840320 is an abundant number, since it is smaller than the sum of its proper divisors (3797940724).

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

2694840320 is an frugal number, since it uses more digits than its factorization.

2694840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2694840320 is about 51911.8514406874. The cubic root of 2694840320 is about 1391.5890802758.

The spelling of 2694840320 in words is "two billion, six hundred ninety-four million, eight hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 512 514 640 1024 1028 1280 1285 2048 2056 2560 2570 4096 4112 5120 5140 8192 8224 10240 10280 16384 16448 20480 20560 32768 32896 40960 41120 65536 65792 81920 82240 131072 131584 163840 164480 262144 263168 327680 328960 524288 526336 655360 657920 1048576 1052672 1310720 1315840 2097152 2105344 2621440 2631680 4210688 5242880 5263360 8421376 10485760 10526720 16842752 21053440 33685504 42106880 67371008 84213760 134742016 168427520 269484032 336855040 538968064 673710080 1347420160 2694840320