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1348068420 = 22345832141
BaseRepresentation
bin101000001011001…
…1110010001000100
310110221121222020000
41100112132101010
510230101142140
6341433441300
745256251426
oct12026362104
93427558200
101348068420
11631a49836
12317570230
1318639812a
14cb074816
157d537a30
hex5059e444

1348068420 has 60 divisors (see below), whose sum is σ = 4228945644. Its totient is φ = 359484480.

The previous prime is 1348068413. The next prime is 1348068427. The reversal of 1348068420 is 248608431.

It is an interprime number because it is at equal distance from previous prime (1348068413) and next prime (1348068427).

It can be written as a sum of positive squares in 2 ways, for example, as 302968836 + 1045099584 = 17406^2 + 32328^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1348068427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414451 + ... + 417690.

Almost surely, 21348068420 is an apocalyptic number.

1348068420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348068420 is an abundant number, since it is smaller than the sum of its proper divisors (2880877224).

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

1348068420 is a wasteful number, since it uses less digits than its factorization.

1348068420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832162 (or 832151 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1348068420 is about 36716.0512582712. The cubic root of 1348068420 is about 1104.6820867684.

The spelling of 1348068420 in words is "one billion, three hundred forty-eight million, sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 832141 1664282 2496423 3328564 4160705 4992846 7489269 8321410 9985692 12482115 14978538 16642820 22467807 24964230 29957076 37446345 44935614 49928460 67403421 74892690 89871228 112339035 134806842 149785380 224678070 269613684 337017105 449356140 674034210 1348068420