Search a number
-
+
401703936 = 2103433041
BaseRepresentation
bin10111111100011…
…000010000000000
31000222212200012120
4113330120100000
51310314011221
6103505524240
712645266334
oct2774302000
91028780176
10401703936
1119682a127
12b2643680
13652ba04a
143b4c97c4
15253ed5c6
hex17f18400

401703936 has 88 divisors (see below), whose sum is σ = 1095947424. Its totient is φ = 130744320.

The previous prime is 401703923. The next prime is 401703959. The reversal of 401703936 is 639307104.

It is a super-2 number, since 2×4017039362 = 322732104395784192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401703897 and 401703906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130576 + ... + 133616.

It is an arithmetic number, because the mean of its divisors is an integer number (12453948).

Almost surely, 2401703936 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 401703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547973712).

401703936 is an abundant number, since it is smaller than the sum of its proper divisors (694243488).

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

401703936 is a wasteful number, since it uses less digits than its factorization.

401703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 401703936 is about 20042.5531307765. The cubic root of 401703936 is about 737.8510432985.

The spelling of 401703936 in words is "four hundred one million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3041 3072 4128 5504 6082 8256 9123 11008 12164 16512 18246 22016 24328 33024 36492 44032 48656 66048 72984 97312 130763 132096 145968 194624 261526 291936 389248 392289 523052 583872 778496 784578 1046104 1167744 1556992 1569156 2092208 2335488 3113984 3138312 4184416 4670976 6276624 8368832 9341952 12553248 16737664 25106496 33475328 50212992 66950656 100425984 133901312 200851968 401703936