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628368336 = 243237117937
BaseRepresentation
bin100101011101000…
…010001111010000
31121210101102022100
4211131002033100
52241330241321
6142204040400
721400020441
oct4535021720
91553342270
10628368336
112a2774482
12156533100
13a024bcab
145d64d2c8
153a273326
hex257423d0

628368336 has 60 divisors (see below), whose sum is σ = 1806102532. Its totient is φ = 203793408.

The previous prime is 628368329. The next prime is 628368343. The reversal of 628368336 is 633863826.

It is an interprime number because it is at equal distance from previous prime (628368329) and next prime (628368343).

It can be written as a sum of positive squares in 2 ways, for example, as 544755600 + 83612736 = 23340^2 + 9144^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 628368291 and 628368300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53641 + ... + 64296.

Almost surely, 2628368336 is an apocalyptic number.

It is an amenable number.

628368336 is an abundant number, since it is smaller than the sum of its proper divisors (1177734196).

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

628368336 is a wasteful number, since it uses less digits than its factorization.

628368336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117988 (or 117979 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 628368336 is about 25067.2761982629. The cubic root of 628368336 is about 856.5211619485.

The spelling of 628368336 in words is "six hundred twenty-eight million, three hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 117937 235874 353811 471748 707622 943496 1061433 1415244 1886992 2122866 2830488 4245732 4363669 5660976 8491464 8727338 13091007 16982928 17454676 26182014 34909352 39273021 52364028 69818704 78546042 104728056 157092084 209456112 314184168 628368336