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38834280 = 23325107873
BaseRepresentation
bin1001010000100…
…1000001101000
32201001222121200
42110021001220
534420144110
63504204200
7651041322
oct224110150
981058550
1038834280
111aa14851
1211009660
138079084
14522c612
1536216c0
hex2509068

38834280 has 48 divisors (see below), whose sum is σ = 126212580. Its totient is φ = 10355712.

The previous prime is 38834269. The next prime is 38834287. The reversal of 38834280 is 8243883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 2762244 = 6006^2 + 1662^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (38834287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53577 + ... + 54296.

Almost surely, 238834280 is an apocalyptic number.

38834280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38834280 is an abundant number, since it is smaller than the sum of its proper divisors (87378300).

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

38834280 is a wasteful number, since it uses less digits than its factorization.

38834280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107890 (or 107883 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38834280 is about 6231.7156546171. The cubic root of 38834280 is about 338.6401276729.

It can be divided in two parts, 3 and 8834280, that multiplied together give a triangular number (26502840 = T7280).

The spelling of 38834280 in words is "thirty-eight million, eight hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 107873 215746 323619 431492 539365 647238 862984 970857 1078730 1294476 1618095 1941714 2157460 2588952 3236190 3883428 4314920 4854285 6472380 7766856 9708570 12944760 19417140 38834280