[go: up one dir, main page]

Search a number
-
+
3491496 = 233271683
BaseRepresentation
bin1101010100011010101000
320120101102200
431110122220
51343211441
6202500200
741451201
oct15243250
96511380
103491496
111a75238
121204660
13953298
1466c5a8
1548e7b6
hex3546a8

3491496 has 48 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 1145760.

The previous prime is 3491491. The next prime is 3491533. The reversal of 3491496 is 6941943.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3491496.

It is not an unprimeable number, because it can be changed into a prime (3491491) 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, 4771 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 23491496 is an apocalyptic number.

3491496 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 3491496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

3491496 is an abundant number, since it is smaller than the sum of its proper divisors (6111864).

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

3491496 is a wasteful number, since it uses less digits than its factorization.

3491496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3491496 is about 1868.5545215487. The cubic root of 3491496 is about 151.7063814738.

The spelling of 3491496 in words is "three million, four hundred ninety-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 683 852 1278 1366 1704 2049 2556 2732 4098 5112 5464 6147 8196 12294 16392 24588 48493 49176 96986 145479 193972 290958 387944 436437 581916 872874 1163832 1745748 3491496