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353134111704 = 233115334997213
BaseRepresentation
bin1010010001110000110…
…11101110101111011000
31020202111112010120101020
411020320123232233120
521241204313033304
6430121053322440
734340664265113
oct5107033565730
91222445116336
10353134111704
11126843aaa910
1258533a96420
13273b9caacaa
141313dbc957a
1592bc2895d9
hex52386eebd8

353134111704 has 128 divisors (see below), whose sum is σ = 981681120000. Its totient is φ = 104946716160.

The previous prime is 353134111703. The next prime is 353134111711. The reversal of 353134111704 is 407111431353.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353134111703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48954402 + ... + 48961614.

It is an arithmetic number, because the mean of its divisors is an integer number (7669383750).

Almost surely, 2353134111704 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 353134111704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490840560000).

353134111704 is an abundant number, since it is smaller than the sum of its proper divisors (628547008296).

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

353134111704 is a wasteful number, since it uses less digits than its factorization.

353134111704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 353134111704 in words is "three hundred fifty-three billion, one hundred thirty-four million, one hundred eleven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 3499 4664 6996 6998 7213 10497 13992 13996 14426 20994 21639 27992 28852 38489 41988 43278 57704 76978 79343 83976 86556 115467 153956 158686 173112 185447 230934 238029 307912 317372 370894 382289 461868 476058 556341 634744 741788 764578 923736 952116 1112682 1146867 1483576 1529156 1904232 2039917 2225364 2293734 3058312 4079834 4205179 4450728 4587468 6119751 8159668 8410358 9174936 12239502 12615537 16319336 16820716 24479004 25231074 25238287 33641432 48958008 50462148 50476574 75714861 100924296 100953148 151429722 201906296 277621157 302859444 555242314 605718888 832863471 1110484628 1337629211 1665726942 2220969256 2675258422 3331453884 4012887633 5350516844 6662907768 8025775266 10701033688 14713921321 16051550532 29427842642 32103101064 44141763963 58855685284 88283527926 117711370568 176567055852 353134111704