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3146364 = 22361383
BaseRepresentation
bin1100000000001001111100
312220212000000
430000021330
51301140424
6151234300
735513034
oct14001174
95825000
103146364
111859a01
121078990
13862170
145bc8c4
154223c9
hex30027c

3146364 has 84 divisors (see below), whose sum is σ = 8997576. Its totient is φ = 956448.

The previous prime is 3146359. The next prime is 3146371. The reversal of 3146364 is 4636413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37867 + ... + 37949.

It is an arithmetic number, because the mean of its divisors is an integer number (107114).

Almost surely, 23146364 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 3146364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498788).

3146364 is an abundant number, since it is smaller than the sum of its proper divisors (5851212).

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

3146364 is a wasteful number, since it uses less digits than its factorization.

3146364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3146364 is about 1773.7993122109. The cubic root of 3146364 is about 146.5332970323.

The spelling of 3146364 in words is "three million, one hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 83 108 117 156 162 166 234 243 249 324 332 351 468 486 498 702 729 747 972 996 1053 1079 1404 1458 1494 2106 2158 2241 2916 2988 3159 3237 4212 4316 4482 6318 6474 6723 8964 9477 9711 12636 12948 13446 18954 19422 20169 26892 29133 37908 38844 40338 58266 60507 80676 87399 116532 121014 174798 242028 262197 349596 524394 786591 1048788 1573182 3146364