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3683040168 = 233414198933
BaseRepresentation
bin1101101110000110…
…1011101110101000
3100111200021211022010
43123201223232220
530020324241133
61405244155520
7160161216303
oct33341535650
910450254263
103683040168
11161aa86655
12869538ba0
13469066212
1426d207b3a
15168516263
hexdb86bba8

3683040168 has 64 divisors (see below), whose sum is σ = 9455745600. Its totient is φ = 1194744320.

The previous prime is 3683040167. The next prime is 3683040169. The reversal of 3683040168 is 8610403863.

It is an interprime number because it is at equal distance from previous prime (3683040167) and next prime (3683040169).

It is not an unprimeable number, because it can be changed into a prime (3683040167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407830 + ... + 416762.

It is an arithmetic number, because the mean of its divisors is an integer number (147746025).

Almost surely, 23683040168 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 3683040168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727872800).

3683040168 is an abundant number, since it is smaller than the sum of its proper divisors (5772705432).

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

3683040168 is a wasteful number, since it uses less digits than its factorization.

3683040168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3683040168 is about 60688.0562219618. The cubic root of 3683040168 is about 1544.3135610671.

The spelling of 3683040168 in words is "three billion, six hundred eighty-three million, forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 419 492 838 984 1257 1676 2514 3352 5028 8933 10056 17179 17866 26799 34358 35732 51537 53598 68716 71464 103074 107196 137432 206148 214392 366253 412296 732506 1098759 1465012 2197518 2930024 3742927 4395036 7485854 8790072 11228781 14971708 22457562 29943416 44915124 89830248 153460007 306920014 460380021 613840028 920760042 1227680056 1841520084 3683040168