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40234632 = 2334753673
BaseRepresentation
bin1001100101111…
…0111010001000
32210201010112120
42121132322020
540300002012
63554211240
7665663064
oct231367210
983633476
1040234632
1120790969
1211583b20
138449599
1454b4aa4
1537eb58c
hex265ee88

40234632 has 64 divisors (see below), whose sum is σ = 104820480. Its totient is φ = 12859392.

The previous prime is 40234603. The next prime is 40234633. The reversal of 40234632 is 23643204.

It is a happy number.

40234632 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 2×402346322 = 3237651224350848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40234633) 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 15 ways as a sum of consecutive naturals, for example, 59448 + ... + 60120.

It is an arithmetic number, because the mean of its divisors is an integer number (1637820).

Almost surely, 240234632 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 40234632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52410240).

40234632 is an abundant number, since it is smaller than the sum of its proper divisors (64585848).

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

40234632 is a wasteful number, since it uses less digits than its factorization.

40234632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 40234632 is about 6343.0774865202. The cubic root of 40234632 is about 342.6625779026.

Adding to 40234632 its reverse (23643204), we get a palindrome (63877836).

The spelling of 40234632 in words is "forty million, two hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 282 318 376 424 564 636 673 1128 1272 1346 2019 2491 2692 4038 4982 5384 7473 8076 9964 14946 16152 19928 29892 31631 35669 59784 63262 71338 94893 107007 126524 142676 189786 214014 253048 285352 379572 428028 759144 856056 1676443 3352886 5029329 6705772 10058658 13411544 20117316 40234632