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38797344 = 25321071259
BaseRepresentation
bin1001010000000…
…0000000100000
32201000002221200
42110000000200
534413003334
63503321200
7650525535
oct224000040
981002850
1038797344
111a99a023
1210bb0200
138065311
14521cd8c
153615799
hex2500020

38797344 has 72 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 12801408.

The previous prime is 38797303. The next prime is 38797379. The reversal of 38797344 is 44379783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38797344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30187 + ... + 31445.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 238797344 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 38797344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

38797344 is an abundant number, since it is smaller than the sum of its proper divisors (72652176).

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

38797344 is a wasteful number, since it uses less digits than its factorization.

38797344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 38797344 is about 6228.7513997590. The cubic root of 38797344 is about 338.5327313262.

The spelling of 38797344 in words is "thirty-eight million, seven hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1259 1284 1712 1926 2518 2568 3424 3777 3852 5036 5136 7554 7704 10072 10272 11331 15108 15408 20144 22662 30216 30816 40288 45324 60432 90648 120864 134713 181296 269426 362592 404139 538852 808278 1077704 1212417 1616556 2155408 2424834 3233112 4310816 4849668 6466224 9699336 12932448 19398672 38797344