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38374240 = 255373643
BaseRepresentation
bin1001001001100…
…0101101100000
32200012121120011
42102120231200
534310433430
63450254304
7644114152
oct222305540
980177504
1038374240
111a730153
1210a27394
137c47868
14514cad2
15358022a
hex2498b60

38374240 has 48 divisors (see below), whose sum is σ = 91043568. Its totient is φ = 15284736.

The previous prime is 38374211. The next prime is 38374241. The reversal of 38374240 is 4247383.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38374241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59359 + ... + 60001.

It is an arithmetic number, because the mean of its divisors is an integer number (1896741).

Almost surely, 238374240 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 38374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45521784).

38374240 is an abundant number, since it is smaller than the sum of its proper divisors (52669328).

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

38374240 is a wasteful number, since it uses less digits than its factorization.

38374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 38374240 is about 6194.6945041705. The cubic root of 38374240 is about 337.2976088789.

The spelling of 38374240 in words is "thirty-eight million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 373 643 746 1286 1492 1865 2572 2984 3215 3730 5144 5968 6430 7460 10288 11936 12860 14920 20576 25720 29840 51440 59680 102880 239839 479678 959356 1199195 1918712 2398390 3837424 4796780 7674848 9593560 19187120 38374240