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3391073172 = 2232235876977
BaseRepresentation
bin1100101000011111…
…1010101110010100
322202022220100212200
43022013322232110
523421103320142
61320254244500
7150014434464
oct31207725624
98668810780
103391073172
111490199513
127a77b6730
1342071b896
14242525ba4
1514ca9264c
hexca1fab94

3391073172 has 72 divisors (see below), whose sum is σ = 8961091776. Its totient is φ = 1079215104.

The previous prime is 3391073137. The next prime is 3391073201. The reversal of 3391073172 is 2713701933.

3391073172 is a `hidden beast` number, since 339 + 1 + 0 + 7 + 317 + 2 = 666.

It is a super-2 number, since 2×33910731722 = 22998754515716283168, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 482548 + ... + 489524.

It is an arithmetic number, because the mean of its divisors is an integer number (124459608).

Almost surely, 23391073172 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 3391073172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480545888).

3391073172 is an abundant number, since it is smaller than the sum of its proper divisors (5570018604).

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

3391073172 is a wasteful number, since it uses less digits than its factorization.

3391073172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 3391073172 is about 58232.9217195909. The cubic root of 3391073172 is about 1502.3774405269.

The spelling of 3391073172 in words is "three billion, three hundred ninety-one million, seventy-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 587 828 1174 1761 2348 3522 5283 6977 7044 10566 13501 13954 20931 21132 27002 27908 40503 41862 54004 62793 81006 83724 121509 125586 160471 162012 243018 251172 320942 481413 486036 641884 962826 1444239 1925652 2888478 4095499 5776956 8190998 12286497 16381996 24572994 36859491 49145988 73718982 94196477 147437964 188392954 282589431 376785908 565178862 847768293 1130357724 1695536586 3391073172