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3214116 = 22321937127
BaseRepresentation
bin1100010000101100100100
320001021221100
430100230210
51310322431
6152520100
736214413
oct14205444
96037840
103214116
1118a58a4
1210b0030
13886c59
145d947a
154374e6
hex310b24

3214116 has 72 divisors (see below), whose sum is σ = 8852480. Its totient is φ = 979776.

The previous prime is 3214109. The next prime is 3214129. The reversal of 3214116 is 6114123.

It is a happy number.

It is a super-2 number, since 2×32141162 = 20661083322912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 25245 + ... + 25371.

Almost surely, 23214116 is an apocalyptic number.

3214116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426240).

3214116 is an abundant number, since it is smaller than the sum of its proper divisors (5638364).

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

3214116 is a wasteful number, since it uses less digits than its factorization.

3214116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3214116 is about 1792.7955823239. The cubic root of 3214116 is about 147.5776245633.

Adding to 3214116 its reverse (6114123), we get a palindrome (9328239).

The spelling of 3214116 in words is "three million, two hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 127 148 171 222 228 254 333 342 381 444 508 666 684 703 762 1143 1332 1406 1524 2109 2286 2413 2812 4218 4572 4699 4826 6327 7239 8436 9398 9652 12654 14097 14478 18796 21717 25308 28194 28956 42291 43434 56388 84582 86868 89281 169164 178562 267843 357124 535686 803529 1071372 1607058 3214116