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3660002412 = 223111032411117
BaseRepresentation
bin1101101000100111…
…0011010001101100
3100110001221101102220
43122021303101230
524443430034122
61403102315340
7156461335653
oct33211632154
910401841386
103660002412
111608a80a90
12861888b50
1346435b201
1426a12c19a
151664b525c
hexda27346c

3660002412 has 96 divisors (see below), whose sum is σ = 9454308864. Its totient is φ = 1092787200.

The previous prime is 3660002363. The next prime is 3660002419. The reversal of 3660002412 is 2142000663.

3660002412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3660002419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276078 + ... + 3277194.

It is an arithmetic number, because the mean of its divisors is an integer number (98482384).

Almost surely, 23660002412 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 3660002412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727154432).

3660002412 is an abundant number, since it is smaller than the sum of its proper divisors (5794306452).

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

3660002412 is a wasteful number, since it uses less digits than its factorization.

3660002412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3660002412 is about 60497.9537835785. The cubic root of 3660002412 is about 1541.0868827016.

The spelling of 3660002412 in words is "three billion, six hundred sixty million, two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 241 309 412 482 618 723 964 1117 1133 1236 1446 2234 2266 2651 2892 3351 3399 4468 4532 5302 6702 6798 7953 10604 12287 13404 13596 15906 24574 24823 31812 36861 49148 49646 73722 74469 99292 115051 147444 148938 230102 269197 273053 297876 345153 460204 538394 546106 690306 807591 819159 1076788 1092212 1265561 1380612 1615182 1638318 2531122 2961167 3230364 3276636 3796683 5062244 5922334 7593366 8883501 11844668 15186732 17767002 27727291 35534004 55454582 83181873 110909164 166363746 305000201 332727492 610000402 915000603 1220000804 1830001206 3660002412