Search a number
-
+
3411968 = 2127217
BaseRepresentation
bin1101000001000000000000
320102100100012
431001000000
51333140333
6201044052
741000300
oct15010000
96370305
103411968
111a2050a
121186628
13926021
1464b600
15475e48
hex341000

3411968 has 78 divisors (see below), whose sum is σ = 8403966. Its totient is φ = 1376256.

The previous prime is 3411949. The next prime is 3411971. The reversal of 3411968 is 8691143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 200704 = 1792^2 + 448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200696 + ... + 200712.

Almost surely, 23411968 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 3411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201983).

3411968 is an abundant number, since it is smaller than the sum of its proper divisors (4991998).

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

3411968 is an equidigital number, since it uses as much as digits as its factorization.

3411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 26 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 3411968 is about 1847.1513202767. The cubic root of 3411968 is about 150.5456865084.

The spelling of 3411968 in words is "three million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1024 1088 1568 1666 1792 1904 2048 2176 3136 3332 3584 3808 4096 4352 6272 6664 7168 7616 8704 12544 13328 14336 15232 17408 25088 26656 28672 30464 34816 50176 53312 60928 69632 100352 106624 121856 200704 213248 243712 426496 487424 852992 1705984 3411968