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1346720640 = 2735701417
BaseRepresentation
bin101000001000101…
…0101001110000000
310110212002111102020
41100101111032000
510224230030030
6341344521440
745241636146
oct12021251600
93425074366
101346720640
11631209171
12317020280
13186015825
14cac03596
157d36d510
hex50455380

1346720640 has 64 divisors (see below), whose sum is σ = 4292678160. Its totient is φ = 359124992.

The previous prime is 1346720629. The next prime is 1346720651. The reversal of 1346720640 is 460276431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1346720629) and next prime (1346720651).

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

It is a super-3 number, since 3×13467206403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348789 + ... + 352628.

Almost surely, 21346720640 is an apocalyptic number.

1346720640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346720640 is an abundant number, since it is smaller than the sum of its proper divisors (2945957520).

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

1346720640 is an equidigital number, since it uses as much as digits as its factorization.

1346720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701439 (or 701427 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1346720640 is about 36697.6925705146. The cubic root of 1346720640 is about 1104.3138154304.

The spelling of 1346720640 in words is "one billion, three hundred forty-six million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 701417 1402834 2104251 2805668 3507085 4208502 5611336 7014170 8417004 10521255 11222672 14028340 16834008 21042510 22445344 28056680 33668016 42085020 44890688 56113360 67336032 84170040 89781376 112226720 134672064 168340080 224453440 269344128 336680160 448906880 673360320 1346720640