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4030034320 = 245134194513
BaseRepresentation
bin1111000000110101…
…0111000110010000
3101101212012221210101
43300031113012100
531223142044240
61503521342144
7201603504124
oct36015270620
911355187711
104030034320
111788938484
12945797954
134c2c091c0
142a3331584
15188c0939a
hexf0357190

4030034320 has 80 divisors (see below), whose sum is σ = 10336807152. Its totient is φ = 1451704320.

The previous prime is 4030034251. The next prime is 4030034321. The reversal of 4030034320 is 234300304.

It can be written as a sum of positive squares in 8 ways, for example, as 412252416 + 3617781904 = 20304^2 + 60148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4030034321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4617 + ... + 89896.

Almost surely, 24030034320 is an apocalyptic number.

4030034320 is a gapful number since it is divisible by the number (40) 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 4030034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168403576).

4030034320 is an abundant number, since it is smaller than the sum of its proper divisors (6306772832).

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

4030034320 is a wasteful number, since it uses less digits than its factorization.

4030034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94580 (or 94574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 4030034320 is about 63482.5513034881. The cubic root of 4030034320 is about 1591.3641918698.

Adding to 4030034320 its reverse (234300304), we get a palindrome (4264334624).

The spelling of 4030034320 in words is "four billion, thirty million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 21320 42640 94513 189026 378052 472565 756104 945130 1228669 1512208 1890260 2457338 3780520 3875033 4914676 6143345 7561040 7750066 9829352 12286690 15500132 19375165 19658704 24573380 31000264 38750330 49146760 50375429 62000528 77500660 98293520 100750858 155001320 201501716 251877145 310002640 403003432 503754290 806006864 1007508580 2015017160 4030034320