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2034668736 = 263210513361
BaseRepresentation
bin111100101000110…
…1001010011000000
312020210120212210100
41321101221103000
513131333344421
6533522002400
7101264253552
oct17121512300
95223525710
102034668736
11954576811
124894a6400
132656c53c9
141543214d2
15bd95ec26
hex794694c0

2034668736 has 84 divisors (see below), whose sum is σ = 5839296424. Its totient is φ = 677376000.

The previous prime is 2034668731. The next prime is 2034668771. The reversal of 2034668736 is 6378664302.

It is a junction number, because it is equal to n+sod(n) for n = 2034668691 and 2034668700.

It is not an unprimeable number, because it can be changed into a prime (2034668731) 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 11 ways as a sum of consecutive naturals, for example, 603696 + ... + 607056.

Almost surely, 22034668736 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 2034668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919648212).

2034668736 is an abundant number, since it is smaller than the sum of its proper divisors (3804627688).

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

2034668736 is a wasteful number, since it uses less digits than its factorization.

2034668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2034668736 is about 45107.3024686691. The cubic root of 2034668736 is about 1267.1593641316.

The spelling of 2034668736 in words is "two billion, thirty-four million, six hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1051 2102 3153 3361 4204 6306 6722 8408 9459 10083 12612 13444 16816 18918 20166 25224 26888 30249 33632 37836 40332 50448 53776 60498 67264 75672 80664 100896 107552 120996 151344 161328 201792 215104 241992 302688 322656 483984 605376 645312 967968 1935936 3532411 7064822 10597233 14129644 21194466 28259288 31791699 42388932 56518576 63583398 84777864 113037152 127166796 169555728 226074304 254333592 339111456 508667184 678222912 1017334368 2034668736