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434694195 = 3551322973
BaseRepresentation
bin11001111010001…
…110100000110011
31010021221202100000
4121322032200303
51342240203240
6111045001043
713525561005
oct3172164063
91107852300
10434694195
11203412201
121016b3183
136c09b100
1441a36375
1528268430
hex19e8e833

434694195 has 144 divisors (see below), whose sum is σ = 887271840. Its totient is φ = 203793408.

The previous prime is 434694173. The next prime is 434694263. The reversal of 434694195 is 591496434.

It is not a de Polignac number, because 434694195 - 212 = 434690099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 434694195.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5954679 + ... + 5954751.

It is an arithmetic number, because the mean of its divisors is an integer number (6161610).

Almost surely, 2434694195 is an apocalyptic number.

434694195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

434694195 is an abundant number, since it is smaller than the sum of its proper divisors (452577645).

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

434694195 is a wasteful number, since it uses less digits than its factorization.

434694195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 434694195 is about 20849.3212119723. The cubic root of 434694195 is about 757.5208895327.

The spelling of 434694195 in words is "four hundred thirty-four million, six hundred ninety-four thousand, one hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 29 39 45 65 73 81 87 117 135 145 169 195 219 243 261 351 365 377 405 435 507 585 657 783 845 949 1053 1095 1131 1215 1305 1521 1755 1885 1971 2117 2349 2535 2847 3159 3285 3393 3915 4563 4745 4901 5265 5655 5913 6351 7047 7605 8541 9855 10179 10585 11745 12337 13689 14235 14703 15795 16965 17739 19053 22815 24505 25623 27521 29565 30537 31755 35235 37011 41067 42705 44109 50895 57159 61685 68445 73515 76869 82563 88695 91611 95265 111033 128115 132327 137605 152685 171477 185055 205335 220545 230607 247689 285795 333099 357773 384345 396981 412815 458055 514431 555165 661635 743067 857385 999297 1073319 1153035 1190943 1238445 1665495 1788865 1984905 2229201 2572155 2997891 3219957 3715335 4996485 5366595 5954715 6687603 9659871 11146005 14989455 16099785 28979613 33438015 48299355 86938839 144898065 434694195