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40934844 = 223217211317
BaseRepresentation
bin1001110000100…
…1110110111100
32212000201001100
42130021312330
540434403334
64021213100
71004640366
oct234116674
985021040
1040934844
1121119a55
1211861190
138633202
145617d36
1538d8c99
hex2709dbc

40934844 has 72 divisors (see below), whose sum is σ = 110427408. Its totient is φ = 12741120.

The previous prime is 40934833. The next prime is 40934857. The reversal of 40934844 is 44843904.

It is a super-2 number, since 2×409348442 = 3351322906608672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40934799 and 40934808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128974 + ... + 129290.

It is an arithmetic number, because the mean of its divisors is an integer number (1533714).

Almost surely, 240934844 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 40934844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55213704).

40934844 is an abundant number, since it is smaller than the sum of its proper divisors (69492564).

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

40934844 is a wasteful number, since it uses less digits than its factorization.

40934844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40934844 is about 6398.0343856531. The cubic root of 40934844 is about 344.6389669962.

It can be divided in two parts, 409 and 34844, that added together give a palindrome (35253).

The spelling of 40934844 in words is "forty million, nine hundred thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 211 306 317 422 612 633 634 844 951 1266 1268 1899 1902 2532 2853 3587 3798 3804 5389 5706 7174 7596 10761 10778 11412 14348 16167 21522 21556 32283 32334 43044 48501 64566 64668 66887 97002 129132 133774 194004 200661 267548 401322 601983 802644 1137079 1203966 2274158 2407932 3411237 4548316 6822474 10233711 13644948 20467422 40934844