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40097934 = 23217592221
BaseRepresentation
bin1001100011110…
…1100010001110
32210110012000200
42120331202032
540231113214
63551234330
7664553412
oct230754216
983405020
1040097934
11206a8198
12115189a6
1383cc2b6
14547ad42
1537c0d09
hex263d88e

40097934 has 48 divisors (see below), whose sum is σ = 93590640. Its totient is φ = 12360960.

The previous prime is 40097933. The next prime is 40097977. The reversal of 40097934 is 43979004.

40097934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400979342 = 3215688622136712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40097933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16944 + ... + 19164.

It is an arithmetic number, because the mean of its divisors is an integer number (1949805).

Almost surely, 240097934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40097934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46795320).

40097934 is an abundant number, since it is smaller than the sum of its proper divisors (53492706).

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

40097934 is a wasteful number, since it uses less digits than its factorization.

40097934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40097934 is about 6332.2929496352. The cubic root of 40097934 is about 342.2740698339.

The spelling of 40097934 in words is "forty million, ninety-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 2221 3009 4442 6018 6663 9027 13326 18054 19989 37757 39978 75514 113271 131039 226542 262078 339813 393117 679626 786234 1179351 2227663 2358702 4455326 6682989 13365978 20048967 40097934