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38794140 = 22345711311
BaseRepresentation
bin1001001111111…
…1001110011100
32200222221120000
42103333032130
534412403030
63503254300
7650513310
oct223771634
980887500
1038794140
111a997680
1210baa390
138063a18
14521bb40
153614860
hex24ff39c

38794140 has 240 divisors, whose sum is σ = 152216064. Its totient is φ = 8035200.

The previous prime is 38794103. The next prime is 38794177. The reversal of 38794140 is 4149783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38794103) and next prime (38794177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38794095 and 38794104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124585 + ... + 124895.

Almost surely, 238794140 is an apocalyptic number.

38794140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38794140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76108032).

38794140 is an abundant number, since it is smaller than the sum of its proper divisors (113421924).

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

38794140 is a wasteful number, since it uses less digits than its factorization.

38794140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38794140 is about 6228.4942000455. The cubic root of 38794140 is about 338.5234120566.

The spelling of 38794140 in words is "thirty-eight million, seven hundred ninety-four thousand, one hundred forty".