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38080336 = 2471033301
BaseRepresentation
bin1001000101000…
…0111101010000
32122122200101211
42101100331100
534222032321
63440105504
7641451250
oct221207520
978580354
1038080336
111a54a358
1210905294
137b73b58
1450b3960
1535230e1
hex2450f50

38080336 has 40 divisors (see below), whose sum is σ = 85165184. Its totient is φ = 16156800.

The previous prime is 38080283. The next prime is 38080373. The reversal of 38080336 is 63308083.

It is a super-2 number, since 2×380803362 = 2900223979745792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38080298 and 38080307.

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, 9886 + ... + 13186.

Almost surely, 238080336 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 38080336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42582592).

38080336 is an abundant number, since it is smaller than the sum of its proper divisors (47084848).

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

38080336 is a wasteful number, since it uses less digits than its factorization.

38080336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 38080336 is about 6170.9266727129. The cubic root of 38080336 is about 336.4342929152.

It can be divided in two parts, 38080 and 336, that added together give a 4-th power (38416 = 144).

The spelling of 38080336 in words is "thirty-eight million, eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 3301 5768 6602 11536 13204 23107 26408 46214 52816 92428 184856 340003 369712 680006 1360012 2380021 2720024 4760042 5440048 9520084 19040168 38080336