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3370808142 = 233137365777
BaseRepresentation
bin1100100011101010…
…0111001101001110
322200220202210111000
43020322213031032
523400411330032
61314252041130
7146350252662
oct31072471516
98626683430
103370808142
11147a808059
127a0a631a6
13419474940
1423d96c8a2
1514addce7c
hexc8ea734e

3370808142 has 64 divisors (see below), whose sum is σ = 8177520960. Its totient is φ = 1022948352.

The previous prime is 3370808137. The next prime is 3370808173. The reversal of 3370808142 is 2418080733.

It is a super-2 number, since 2×33708081422 = 22724695060346984328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3370808097 and 3370808106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18358 + ... + 84134.

It is an arithmetic number, because the mean of its divisors is an integer number (127773765).

Almost surely, 23370808142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370808142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088760480).

3370808142 is an abundant number, since it is smaller than the sum of its proper divisors (4806712818).

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

3370808142 is a wasteful number, since it uses less digits than its factorization.

3370808142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65874 (or 65868 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3370808142 is about 58058.6612143270. The cubic root of 3370808142 is about 1499.3787267152.

Adding to 3370808142 its reverse (2418080733), we get a palindrome (5788888875).

The spelling of 3370808142 in words is "three billion, three hundred seventy million, eight hundred eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 351 438 657 702 949 1314 1898 1971 2847 3942 5694 8541 17082 25623 51246 65777 131554 197331 394662 591993 855101 1183986 1710202 1775979 2565303 3551958 4801721 5130606 7695909 9603442 14405163 15391818 23087727 28810326 43215489 46175454 62422373 86430978 124844746 129646467 187267119 259292934 374534238 561801357 1123602714 1685404071 3370808142