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3121060464 = 243317676343
BaseRepresentation
bin1011101000000111…
…1001101001110000
322001111211022002000
42322001321221300
522342442413324
61233411054000
7140225401434
oct27201715160
98044738060
103121060464
111361836a15
127312a1300
133a97c0052
1421871a9c4
151340089c9
hexba079a70

3121060464 has 160 divisors (see below), whose sum is σ = 9628669440. Its totient is φ = 964389888.

The previous prime is 3121060451. The next prime is 3121060477. The reversal of 3121060464 is 4640601213.

3121060464 is a `hidden beast` number, since 31 + 21 + 0 + 604 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3121060451) and next prime (3121060477).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488877 + ... + 495219.

It is an arithmetic number, because the mean of its divisors is an integer number (60179184).

Almost surely, 23121060464 is an apocalyptic number.

3121060464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121060464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814334720).

3121060464 is an abundant number, since it is smaller than the sum of its proper divisors (6507608976).

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

3121060464 is a wasteful number, since it uses less digits than its factorization.

3121060464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3121060464 is about 55866.4520441383. The cubic root of 3121060464 is about 1461.3942495260.

Adding to 3121060464 its reverse (4640601213), we get a palindrome (7761661677).

The spelling of 3121060464 in words is "three billion, one hundred twenty-one million, sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 67 68 72 102 108 134 136 144 153 201 204 216 268 272 306 402 408 432 459 536 603 612 804 816 918 1072 1139 1206 1224 1608 1809 1836 2278 2412 2448 3216 3417 3618 3672 4556 4824 6343 6834 7236 7344 9112 9648 10251 12686 13668 14472 18224 19029 20502 25372 27336 28944 30753 38058 41004 50744 54672 57087 61506 76116 82008 101488 107831 114174 123012 152232 164016 171261 215662 228348 246024 304464 323493 342522 424981 431324 456696 492048 646986 685044 849962 862648 913392 970479 1274943 1293972 1370088 1699924 1725296 1940958 2549886 2587944 2740176 2911437 3399848 3824829 3881916 5099772 5175888 5822874 6799696 7224677 7649658 7763832 10199544 11474487 11645748 14449354 15299316 15527664 20399088 21674031 22948974 23291496 28898708 30598632 43348062 45897948 46582992 57797416 61197264 65022093 86696124 91795896 115594832 130044186 173392248 183591792 195066279 260088372 346784496 390132558 520176744 780265116 1040353488 1560530232 3121060464