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388138436 = 227293712919
BaseRepresentation
bin10111001000101…
…000010111000100
31000001100110211122
4113020220113010
51243330412221
6102303053112
712422056640
oct2710502704
91001313748
10388138436
1118a104174
12a9ba1198
136254a61a
1439797c20
152411deab
hex172285c4

388138436 has 48 divisors (see below), whose sum is σ = 824812800. Its totient is φ = 156256128.

The previous prime is 388138433. The next prime is 388138477. The reversal of 388138436 is 634831883.

It is not an unprimeable number, because it can be changed into a prime (388138433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23585 + ... + 36503.

It is an arithmetic number, because the mean of its divisors is an integer number (17183600).

Almost surely, 2388138436 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 388138436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412406400).

388138436 is an abundant number, since it is smaller than the sum of its proper divisors (436674364).

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

388138436 is a wasteful number, since it uses less digits than its factorization.

388138436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12994 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 388138436 is about 19701.2293017466. The cubic root of 388138436 is about 729.4500367673.

The spelling of 388138436 in words is "three hundred eighty-eight million, one hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 4292 7511 12919 15022 25838 30044 51676 90433 180866 361732 374651 478003 749302 956006 1498604 1912012 2622557 3346021 5245114 6692042 10490228 13384084 13862087 27724174 55448348 97034609 194069218 388138436