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3134016640 = 27517288053
BaseRepresentation
bin1011101011001101…
…0100110010000000
322002102012112121101
42322303110302000
522404302013030
61234552504144
7140443462516
oct27263246200
98072175541
103134016640
1113690860a7
127356ab054
133ac3a8321
1421a3304b6
151352177ca
hexbacd4c80

3134016640 has 64 divisors (see below), whose sum is σ = 7933007160. Its totient is φ = 1179860992.

The previous prime is 3134016637. The next prime is 3134016643. The reversal of 3134016640 is 466104313.

It is an interprime number because it is at equal distance from previous prime (3134016637) and next prime (3134016643).

It can be written as a sum of positive squares in 4 ways, for example, as 1827049536 + 1306967104 = 42744^2 + 36152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3134016599 and 3134016608.

It is not an unprimeable number, because it can be changed into a prime (3134016643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133147 + ... + 154906.

Almost surely, 23134016640 is an apocalyptic number.

It is an amenable number.

3134016640 is an abundant number, since it is smaller than the sum of its proper divisors (4798990520).

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

3134016640 is a wasteful number, since it uses less digits than its factorization.

3134016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288089 (or 288077 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3134016640 is about 55982.2886277437. The cubic root of 3134016640 is about 1463.4136423784.

The spelling of 3134016640 in words is "three billion, one hundred thirty-four million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 288053 576106 1152212 1440265 2304424 2880530 4608848 4896901 5761060 9217696 9793802 11522120 18435392 19587604 23044240 24484505 36870784 39175208 46088480 48969010 78350416 92176960 97938020 156700832 184353920 195876040 313401664 391752080 626803328 783504160 1567008320 3134016640