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2034301104 = 2432114329867
BaseRepresentation
bin111100101000000…
…1111100010110000
312020202220012111100
41321100033202300
513131240113404
6533510044400
7101261163003
oct17120174260
95222805440
102034301104
11954345590
12489349700
132655c6c84
1415426753a
15bd8dad39
hex7940f8b0

2034301104 has 120 divisors (see below), whose sum is σ = 6355432512. Its totient is φ = 602098560.

The previous prime is 2034301097. The next prime is 2034301121. The reversal of 2034301104 is 4011034302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53179 + ... + 83045.

Almost surely, 22034301104 is an apocalyptic number.

2034301104 is a gapful number since it is divisible by the number (24) 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 2034301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177716256).

2034301104 is an abundant number, since it is smaller than the sum of its proper divisors (4321131408).

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

2034301104 is a wasteful number, since it uses less digits than its factorization.

2034301104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29935 (or 29926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2034301104 is about 45103.2272016094. The cubic root of 2034301104 is about 1267.0830410783.

Adding to 2034301104 its reverse (4011034302), we get a palindrome (6045335406).

The spelling of 2034301104 in words is "two billion, thirty-four million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 22704 29867 34056 59734 68112 89601 119468 179202 238936 268803 328537 358404 477872 537606 657074 716808 985611 1075212 1284281 1314148 1433616 1971222 2150424 2568562 2628296 2956833 3852843 3942444 4300848 5137124 5256592 5913666 7705686 7884888 10274248 11558529 11827332 14127091 15411372 15769776 20548496 23117058 23654664 28254182 30822744 42381273 46234116 47309328 56508364 61645488 84762546 92468232 113016728 127143819 169525092 184936464 226033456 254287638 339050184 508575276 678100368 1017150552 2034301104