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1334179680 = 25352779541
BaseRepresentation
bin100111110000101…
…1111011101100000
310102222111100110020
41033201133131200
510213022222210
6340220033440
745030224451
oct11741373540
93388440406
101334179680
11625122a39
12312992880
13183544542
14c929b128
157c1e2770
hex4f85f760

1334179680 has 48 divisors (see below), whose sum is σ = 4202667504. Its totient is φ = 355781120.

The previous prime is 1334179667. The next prime is 1334179681. The reversal of 1334179680 is 869714331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334179681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389291 + ... + 1390250.

It is an arithmetic number, because the mean of its divisors is an integer number (87555573).

Almost surely, 21334179680 is an apocalyptic number.

1334179680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334179680 is an abundant number, since it is smaller than the sum of its proper divisors (2868487824).

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

1334179680 is a wasteful number, since it uses less digits than its factorization.

1334179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779559 (or 2779551 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1334179680 is about 36526.4244075436. The cubic root of 1334179680 is about 1100.8752483011.

The spelling of 1334179680 in words is "one billion, three hundred thirty-four million, one hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2779541 5559082 8338623 11118164 13897705 16677246 22236328 27795410 33354492 41693115 44472656 55590820 66708984 83386230 88945312 111181640 133417968 166772460 222363280 266835936 333544920 444726560 667089840 1334179680