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334020343032 = 23337923384011
BaseRepresentation
bin1001101110001010010…
…10011111010011111000
31011221011110012111222000
410313011022133103320
520433033201434112
6413240303101000
733063223033035
oct4670512372370
91157143174860
10334020343032
11119725859582
125489a8a1760
13256620b89bc
14122494b838c
158a4e22a7dc
hex4dc529f4f8

334020343032 has 128 divisors (see below), whose sum is σ = 943622784000. Its totient is φ = 109457637120.

The previous prime is 334020343003. The next prime is 334020343061. The reversal of 334020343032 is 230343020433.

334020343032 is a `hidden beast` number, since 334 + 0 + 20 + 3 + 4 + 303 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (334020343003) and next prime (334020343061).

It is a super-2 number, since 2×3340203430322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 334020342987 and 334020343005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3933907 + ... + 4017917.

It is an arithmetic number, because the mean of its divisors is an integer number (7372053000).

Almost surely, 2334020343032 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 334020343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471811392000).

334020343032 is an abundant number, since it is smaller than the sum of its proper divisors (609602440968).

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

334020343032 is a wasteful number, since it uses less digits than its factorization.

334020343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84338 (or 84328 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 334020343032 its reverse (230343020433), we get a palindrome (564363363465).

The spelling of 334020343032 in words is "three hundred thirty-four billion, twenty million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 233 237 316 466 474 632 699 711 932 948 1398 1422 1864 1896 2097 2133 2796 2844 4194 4266 5592 5688 6291 8388 8532 12582 16776 17064 18407 25164 36814 50328 55221 73628 84011 110442 147256 165663 168022 220884 252033 331326 336044 441768 496989 504066 662652 672088 756099 993978 1008132 1325304 1512198 1987956 2016264 2268297 3024396 3975912 4536594 6048792 6636869 9073188 13273738 18146376 19574563 19910607 26547476 39149126 39821214 53094952 58723689 59731821 78298252 79642428 117447378 119463642 156596504 159284856 176171067 179195463 234894756 238927284 352342134 358390926 469789512 477854568 528513201 704684268 716781852 1057026402 1409368536 1433563704 1546390477 2114052804 3092780954 4228105608 4639171431 6185561908 9278342862 12371123816 13917514293 18556685724 27835028586 37113371448 41752542879 55670057172 83505085758 111340114344 167010171516 334020343032