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33030340304 = 2413538273623
BaseRepresentation
bin11110110000110000…
…101111111011010000
310011020221102010210012
4132300300233323100
51020121231342204
623101322454052
72246344155143
oct366060577320
9104227363705
1033030340304
111300a847605
126499964328
133165140480
141854aac05a
15cd4bb276e
hex7b0c2fed0

33030340304 has 80 divisors (see below), whose sum is σ = 70323748992. Its totient is φ = 14934925824.

The previous prime is 33030340241. The next prime is 33030340309. The reversal of 33030340304 is 40304303033.

It is a self number, because there is not a number n which added to its sum of digits gives 33030340304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030340309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9115037 + ... + 9118659.

Almost surely, 233030340304 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 33030340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35161874496).

33030340304 is an abundant number, since it is smaller than the sum of its proper divisors (37293408688).

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

33030340304 is a wasteful number, since it uses less digits than its factorization.

33030340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 33030340304 its reverse (40304303033), we get a palindrome (73334643337).

The spelling of 33030340304 in words is "thirty-three billion, thirty million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 827 848 1378 1654 2756 3308 3623 5512 6616 7246 10751 11024 13232 14492 21502 28984 43004 43831 47099 57968 86008 87662 94198 172016 175324 188396 192019 350648 376792 384038 569803 701296 753584 768076 1139606 1536152 2279212 2496247 2996221 3072304 4558424 4992494 5992442 9116848 9984988 11984884 19969976 23969768 38950873 39939952 47939536 77901746 155803492 158799713 311606984 317599426 623213968 635198852 1270397704 2064396269 2540795408 4128792538 8257585076 16515170152 33030340304