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38348232 = 23313196469
BaseRepresentation
bin1001001001001…
…0010111001000
32200011021212220
42102102113020
534304120412
63445534040
7643645266
oct222222710
980137786
1038348232
111a71265a
1210a14320
137c38a80
145143436
15357768c
hex24925c8

38348232 has 64 divisors (see below), whose sum is σ = 108696000. Its totient is φ = 11176704.

The previous prime is 38348207. The next prime is 38348263. The reversal of 38348232 is 23284383.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38348193 and 38348202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694 + ... + 9162.

It is an arithmetic number, because the mean of its divisors is an integer number (1698375).

Almost surely, 238348232 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 38348232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54348000).

38348232 is an abundant number, since it is smaller than the sum of its proper divisors (70347768).

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

38348232 is a wasteful number, since it uses less digits than its factorization.

38348232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6506 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 38348232 is about 6192.5949326595. The cubic root of 38348232 is about 337.2213909196.

The spelling of 38348232 in words is "thirty-eight million, three hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 6469 12938 19407 25876 38814 51752 77628 84097 122911 155256 168194 245822 252291 336388 368733 491644 504582 672776 737466 983288 1009164 1474932 1597843 2018328 2949864 3195686 4793529 6391372 9587058 12782744 19174116 38348232