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1040398336 = 211736959
BaseRepresentation
bin111110000000110…
…011100000000000
32200111200201012201
4332000303200000
54112320221321
6251123202544
734532145205
oct7600634000
92614621181
101040398336
1149430673a
12250516454
13137713123
149c265cac
1561511291
hex3e033800

1040398336 has 48 divisors (see below), whose sum is σ = 2109088800. Its totient is φ = 512999424.

The previous prime is 1040398319. The next prime is 1040398349. The reversal of 1040398336 is 6338930401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1040398295 and 1040398304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146025 + ... + 152983.

It is an arithmetic number, because the mean of its divisors is an integer number (43939350).

Almost surely, 21040398336 is an apocalyptic number.

1040398336 is a gapful number since it is divisible by the number (16) 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 1040398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054544400).

1040398336 is an abundant number, since it is smaller than the sum of its proper divisors (1068690464).

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

1040398336 is an frugal number, since it uses more digits than its factorization.

1040398336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 1040398336 is about 32255.2063394423. The cubic root of 1040398336 is about 1013.2887391887.

The spelling of 1040398336 in words is "one billion, forty million, three hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4672 6959 9344 13918 18688 27836 37376 55672 74752 111344 149504 222688 445376 508007 890752 1016014 1781504 2032028 3563008 4064056 7126016 8128112 14252032 16256224 32512448 65024896 130049792 260099584 520199168 1040398336