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2034402032 = 241331535953
BaseRepresentation
bin111100101000010…
…1000001011110000
312020210002022221102
41321100220023300
513131301331112
6533512143532
7101262063155
oct17120501360
95223068842
102034402032
119544043a3
12489397ba8
13265630bb0
1415429222c
15bd90abc2
hex794282f0

2034402032 has 80 divisors (see below), whose sum is σ = 4465214208. Its totient is φ = 891371520.

The previous prime is 2034401981. The next prime is 2034402037. The reversal of 2034402032 is 2302044302.

It is a junction number, because it is equal to n+sod(n) for n = 2034401995 and 2034402013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034402037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 338768 + ... + 344720.

Almost surely, 22034402032 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 2034402032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232607104).

2034402032 is an abundant number, since it is smaller than the sum of its proper divisors (2430812176).

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

2034402032 is a wasteful number, since it uses less digits than its factorization.

2034402032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6058 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2034402032 is about 45104.3460433693. The cubic root of 2034402032 is about 1267.1039953742.

Adding to 2034402032 its reverse (2302044302), we get a palindrome (4336446334).

The spelling of 2034402032 in words is "two billion, thirty-four million, four hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 53 62 104 106 124 208 212 248 403 424 496 689 806 848 1378 1612 1643 2756 3224 3286 5512 5953 6448 6572 11024 11906 13144 21359 23812 26288 42718 47624 77389 85436 95248 154778 170872 184543 309556 315509 341744 369086 619112 631018 738172 1238224 1262036 1476344 2399059 2524072 2952688 4101617 4798118 5048144 8203234 9596236 9780779 16406468 19192472 19561558 32812936 38384944 39123116 65625872 78246232 127150127 156492464 254300254 508600508 1017201016 2034402032