Search a number
-
+
3376224 = 253219617
BaseRepresentation
bin1100111000010001100000
320100112022100
430320101200
51331014344
6200210400
740461135
oct14702140
96315270
103376224
1119a6675
121169a00
13912987
1463c58c
1546a569
hex338460

3376224 has 72 divisors (see below), whose sum is σ = 10122840. Its totient is φ = 1064448.

The previous prime is 3376187. The next prime is 3376229. The reversal of 3376224 is 4226733.

3376224 is a `hidden beast` number, since 3 + 37 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33762242 = 22797776996352, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5164 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (140595).

Almost surely, 23376224 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 3376224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061420).

3376224 is an abundant number, since it is smaller than the sum of its proper divisors (6746616).

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

3376224 is a wasteful number, since it uses less digits than its factorization.

3376224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3376224 is about 1837.4504074940. The cubic root of 3376224 is about 150.0181311417.

It can be divided in two parts, 3376 and 224, that added together give a square (3600 = 602).

The spelling of 3376224 in words is "three million, three hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 617 684 912 1234 1368 1824 1851 2468 2736 3702 4936 5472 5553 7404 9872 11106 11723 14808 19744 22212 23446 29616 35169 44424 46892 59232 70338 88848 93784 105507 140676 177696 187568 211014 281352 375136 422028 562704 844056 1125408 1688112 3376224