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38397440 = 29553283
BaseRepresentation
bin1001001001111…
…0011000000000
32200020210101102
42102132120000
534312204230
63450553532
7644241614
oct222363000
980223342
1038397440
111a746624
1210a388a8
137c552a3
145157344
153587045
hex249e600

38397440 has 80 divisors (see below), whose sum is σ = 94132368. Its totient is φ = 15015936.

The previous prime is 38397427. The next prime is 38397451. The reversal of 38397440 is 4479383.

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

It is a junction number, because it is equal to n+sod(n) for n = 38397394 and 38397403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135539 + ... + 135821.

Almost surely, 238397440 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 38397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066184).

38397440 is an abundant number, since it is smaller than the sum of its proper divisors (55734928).

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

38397440 is an equidigital number, since it uses as much as digits as its factorization.

38397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 38397440 is about 6196.5667913773. The cubic root of 38397440 is about 337.3655687748.

The spelling of 38397440 in words is "thirty-eight million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 283 320 424 512 530 566 640 848 1060 1132 1280 1415 1696 2120 2264 2560 2830 3392 4240 4528 5660 6784 8480 9056 11320 13568 14999 16960 18112 22640 27136 29998 33920 36224 45280 59996 67840 72448 74995 90560 119992 135680 144896 149990 181120 239984 299980 362240 479968 599960 724480 959936 1199920 1919872 2399840 3839744 4799680 7679488 9599360 19198720 38397440