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40354080 = 25351329223
BaseRepresentation
bin1001100111110…
…0000100100000
32210221012101120
42121330010200
540312312310
64000532240
71000001244
oct231740440
983835346
1040354080
1120862688
1211621080
13848ba70
145506424
153821b70
hex267c120

40354080 has 192 divisors, whose sum is σ = 142248960. Its totient is φ = 9547776.

The previous prime is 40354021. The next prime is 40354091. The reversal of 40354080 is 8045304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40354080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180849 + ... + 181071.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 240354080 is an apocalyptic number.

40354080 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 40354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

40354080 is an abundant number, since it is smaller than the sum of its proper divisors (101894880).

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

40354080 is a wasteful number, since it uses less digits than its factorization.

40354080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40354080 is about 6352.4861274937. The cubic root of 40354080 is about 343.0013401393.

Adding to 40354080 its reverse (8045304), we get a palindrome (48399384).

The spelling of 40354080 in words is "forty million, three hundred fifty-four thousand, eighty".