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3134135808 = 29331911187
BaseRepresentation
bin1011101011001111…
…0001111000000000
322002102102121002000
42322303301320000
522404314321213
61234555224000
7140444500116
oct27263617000
98072377060
103134135808
111369157691
12735748000
133ac41a63b
1421a361ab6
1513523cc73
hexbacf1e00

3134135808 has 160 divisors (see below), whose sum is σ = 9333688320. Its totient is φ = 1038366720.

The previous prime is 3134135803. The next prime is 3134135813. The reversal of 3134135808 is 8085314313.

3134135808 is a `hidden beast` number, since 31 + 3 + 41 + 3 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3134135803) and next prime (3134135813).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134135803) 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, 2639791 + ... + 2640977.

It is an arithmetic number, because the mean of its divisors is an integer number (58335552).

Almost surely, 23134135808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160).

3134135808 is an abundant number, since it is smaller than the sum of its proper divisors (6199552512).

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

3134135808 is a wasteful number, since it uses less digits than its factorization.

3134135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3134135808 is about 55983.3529542488. The cubic root of 3134135808 is about 1463.4321904469.

The spelling of 3134135808 in words is "three billion, one hundred thirty-four million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 191 192 216 256 288 382 384 432 512 573 576 764 768 864 1146 1152 1187 1528 1536 1719 1728 2292 2304 2374 3056 3438 3456 3561 4584 4608 4748 5157 6112 6876 6912 7122 9168 9496 10314 10683 12224 13752 13824 14244 18336 18992 20628 21366 24448 27504 28488 32049 36672 37984 41256 42732 48896 55008 56976 64098 73344 75968 82512 85464 97792 110016 113952 128196 146688 151936 165024 170928 220032 226717 227904 256392 293376 303872 330048 341856 440064 453434 455808 512784 607744 660096 680151 683712 880128 906868 911616 1025568 1320192 1360302 1367424 1813736 1823232 2040453 2051136 2640384 2720604 2734848 3627472 4080906 4102272 5441208 5469696 6121359 7254944 8161812 8204544 10882416 12242718 14509888 16323624 16409088 21764832 24485436 29019776 32647248 43529664 48970872 58039552 65294496 87059328 97941744 116079104 130588992 174118656 195883488 261177984 348237312 391766976 522355968 783533952 1044711936 1567067904 3134135808