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40934000 = 245397211
BaseRepresentation
bin1001110000100…
…1101001110000
32212000122220002
42130021221300
540434342000
64021205132
71004635052
oct234115160
985018802
1040934000
1121119358
12118607a8
138632a03
1456178d2
1538d88d5
hex2709a70

40934000 has 80 divisors (see below), whose sum is σ = 100472736. Its totient is φ = 16128000.

The previous prime is 40933939. The next prime is 40934009. The reversal of 40934000 is 43904.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40934009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193895 + ... + 194105.

Almost surely, 240934000 is an apocalyptic number.

40934000 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 40934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50236368).

40934000 is an abundant number, since it is smaller than the sum of its proper divisors (59538736).

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

40934000 is a wasteful number, since it uses less digits than its factorization.

40934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 40934000 is about 6397.9684275557. The cubic root of 40934000 is about 344.6365983760.

Adding to 40934000 its reverse (43904), we get a palindrome (40977904).

The spelling of 40934000 in words is "forty million, nine hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 211 250 388 400 422 485 500 776 844 970 1000 1055 1552 1688 1940 2000 2110 2425 3376 3880 4220 4850 5275 7760 8440 9700 10550 12125 16880 19400 20467 21100 24250 26375 38800 40934 42200 48500 52750 81868 84400 97000 102335 105500 163736 194000 204670 211000 327472 409340 422000 511675 818680 1023350 1637360 2046700 2558375 4093400 5116750 8186800 10233500 20467000 40934000