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1340062640 = 24576139229
BaseRepresentation
bin100111111011111…
…1011101110110000
310110101120020100122
41033313323232300
510221024001030
6340550105412
745131226110
oct11767735660
93411506318
101340062640
11628480994
1231494b268
13184824197
14c9d8d040
157c9a58e5
hex4fdfbbb0

1340062640 has 80 divisors (see below), whose sum is σ = 3619202880. Its totient is φ = 451906560.

The previous prime is 1340062631. The next prime is 1340062643. The reversal of 1340062640 is 462600431.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1340062643) 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, 14546 + ... + 53774.

It is an arithmetic number, because the mean of its divisors is an integer number (45240036).

Almost surely, 21340062640 is an apocalyptic number.

1340062640 is a gapful number since it is divisible by the number (10) 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 1340062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809601440).

1340062640 is an abundant number, since it is smaller than the sum of its proper divisors (2279140240).

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

1340062640 is a wasteful number, since it uses less digits than its factorization.

1340062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39310 (or 39304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1340062640 is about 36606.8660226466. The cubic root of 1340062640 is about 1102.4909500271.

The spelling of 1340062640 in words is "one billion, three hundred forty million, sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 39229 78458 156916 196145 274603 313832 392290 549206 627664 784580 1098412 1373015 1569160 2196824 2392969 2746030 3138320 4393648 4785938 5492060 9571876 10984120 11964845 16750783 19143752 21968240 23929690 33501566 38287504 47859380 67003132 83753915 95718760 134006264 167507830 191437520 268012528 335015660 670031320 1340062640