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3117737340 = 2232519498887
BaseRepresentation
bin1011100111010100…
…1110010101111100
322001021120110121100
42321311032111330
522341120043330
61233211533100
7140155221144
oct27165162574
98037513540
103117737340
11135a977233
1273015a190
133a8bc85c3
142180d3924
15133a9e060
hexb9d4e57c

3117737340 has 72 divisors (see below), whose sum is σ = 9463053600. Its totient is φ = 830876544.

The previous prime is 3117737323. The next prime is 3117737347. The reversal of 3117737340 is 437377113.

It is a happy number.

It is a super-2 number, since 2×31177373402 = 19440572242460551200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3117737295 and 3117737304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117737347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346377 + ... + 355263.

It is an arithmetic number, because the mean of its divisors is an integer number (131431300).

Almost surely, 23117737340 is an apocalyptic number.

3117737340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3117737340 is an abundant number, since it is smaller than the sum of its proper divisors (6345316260).

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

3117737340 is a wasteful number, since it uses less digits than its factorization.

3117737340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 3117737340 is about 55836.7024456137. The cubic root of 3117737340 is about 1460.8753960804.

The spelling of 3117737340 in words is "three billion, one hundred seventeen million, seven hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1949 3898 5847 7796 8887 9745 11694 17541 17774 19490 23388 26661 29235 35082 35548 38980 44435 53322 58470 70164 79983 87705 88870 106644 116940 133305 159966 175410 177740 266610 319932 350820 399915 533220 799830 1599660 17320763 34641526 51962289 69283052 86603815 103924578 155886867 173207630 207849156 259811445 311773734 346415260 519622890 623547468 779434335 1039245780 1558868670 3117737340