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3678163640 = 2351931156119
BaseRepresentation
bin1101101100111100…
…0101001010111000
3100111100010001221222
43123033011022320
530013102214030
61404551451212
7160101606104
oct33317051270
910440101858
103678163640
111618255868
12867986b08
134680496b8
1426c6d8904
15167da13e5
hexdb3c52b8

3678163640 has 64 divisors (see below), whose sum is σ = 8992512000. Its totient is φ = 1348859520.

The previous prime is 3678163637. The next prime is 3678163649. The reversal of 3678163640 is 463618763.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3678163591 and 3678163600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678163649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54500 + ... + 101619.

It is an arithmetic number, because the mean of its divisors is an integer number (140508000).

Almost surely, 23678163640 is an apocalyptic number.

It is an amenable number.

3678163640 is an abundant number, since it is smaller than the sum of its proper divisors (5314348360).

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

3678163640 is a wasteful number, since it uses less digits than its factorization.

3678163640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156180 (or 156176 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 3678163640 is about 60647.8659146387. The cubic root of 3678163640 is about 1543.6316774256.

The spelling of 3678163640 in words is "three billion, six hundred seventy-eight million, one hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 156119 312238 624476 780595 1248952 1561190 2966261 3122380 4839689 5932522 6244760 9679378 11865044 14831305 19358756 23730088 24198445 29662610 38717512 48396890 59325220 91954091 96793780 118650440 183908182 193587560 367816364 459770455 735632728 919540910 1839081820 3678163640