Search a number
-
+
46340640 = 2533517631
BaseRepresentation
bin1011000011000…
…1101000100000
310020012100102000
42300301220200
543330400030
64333124000
71101613623
oct260615040
9106170360
1046340640
1124181455
1213629600
1397a68c8
146223dba
154105860
hex2c31a20

46340640 has 192 divisors, whose sum is σ = 172005120. Its totient is φ = 11612160.

The previous prime is 46340621. The next prime is 46340641. The reversal of 46340640 is 4604364.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (46340641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73125 + ... + 73755.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 246340640 is an apocalyptic number.

46340640 is a gapful number since it is divisible by the number (40) 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 46340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

46340640 is an abundant number, since it is smaller than the sum of its proper divisors (125664480).

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

46340640 is a wasteful number, since it uses less digits than its factorization.

46340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46340640 is about 6807.3959779052. The cubic root of 46340640 is about 359.1870544918.

The spelling of 46340640 in words is "forty-six million, three hundred forty thousand, six hundred forty".