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1348843680 = 25325936697
BaseRepresentation
bin101000001100101…
…1011100010100000
310111000002100200100
41100121123202200
510230300444210
6341502222400
745265660602
oct12031334240
93430070610
101348843680
11632429248
12317884a00
131865a9c72
14cb1d7172
157d63c5c0
hex5065b8a0

1348843680 has 72 divisors (see below), whose sum is σ = 4602933972. Its totient is φ = 359691264.

The previous prime is 1348843633. The next prime is 1348843721. The reversal of 1348843680 is 863488431.

1348843680 is a `hidden beast` number, since 134 + 8 + 8 + 436 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1170460944 + 178382736 = 34212^2 + 13356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466909 + ... + 469788.

Almost surely, 21348843680 is an apocalyptic number.

1348843680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348843680 is an abundant number, since it is smaller than the sum of its proper divisors (3254090292).

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

1348843680 is a wasteful number, since it uses less digits than its factorization.

1348843680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936718 (or 936707 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1348843680 is about 36726.6072486964. The cubic root of 1348843680 is about 1104.8938098783.

The spelling of 1348843680 in words is "one billion, three hundred forty-eight million, eight hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 936697 1873394 2810091 3746788 4683485 5620182 7493576 8430273 9366970 11240364 14050455 14987152 16860546 18733940 22480728 28100910 29974304 33721092 37467880 42151365 44961456 56201820 67442184 74935760 84302730 89922912 112403640 134884368 149871520 168605460 224807280 269768736 337210920 449614560 674421840 1348843680