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3399755975 = 52741119271
BaseRepresentation
bin1100101010100100…
…0010100011000111
322202221020111102222
43022221002203013
523430314142400
61321204322555
7150151310000
oct31251024307
98687214388
103399755975
111495089a90
127aa6a345b
1342246ba35
142437461a7
1514d70a185
hexcaa428c7

3399755975 has 120 divisors (see below), whose sum is σ = 5668327680. Its totient is φ = 2000376000.

The previous prime is 3399755959. The next prime is 3399755981. The reversal of 3399755975 is 5795579933.

It is not a de Polignac number, because 3399755975 - 24 = 3399755959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12545090 + ... + 12545360.

It is an arithmetic number, because the mean of its divisors is an integer number (47236064).

Almost surely, 23399755975 is an apocalyptic number.

3399755975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3399755975 is a deficient number, since it is larger than the sum of its proper divisors (2268571705).

3399755975 is a wasteful number, since it uses less digits than its factorization.

3399755975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its digits is 40186125, while the sum is 62.

The square root of 3399755975 is about 58307.4264137940. The cubic root of 3399755975 is about 1503.6586209253.

The spelling of 3399755975 in words is "three billion, three hundred ninety-nine million, seven hundred fifty-five thousand, nine hundred seventy-five".

Divisors: 1 5 7 11 19 25 35 49 55 77 95 133 175 209 245 271 275 343 385 475 539 665 931 1045 1225 1355 1463 1715 1897 1925 2401 2695 2981 3325 3773 4655 5149 5225 6517 6775 7315 8575 9485 10241 12005 13279 13475 14905 18865 20867 23275 25745 26411 32585 36043 36575 45619 47425 51205 56639 60025 66395 71687 74525 92953 94325 104335 128725 132055 146069 162925 180215 228095 252301 256025 283195 331975 358435 396473 464765 501809 521675 650671 660275 730345 901075 1022483 1140475 1261505 1415975 1766107 1792175 1982365 2323825 2509045 2775311 3253355 3651725 5112415 6307525 7157381 8830535 9911825 12362749 12545225 13876555 16266775 19427177 25562075 35786905 44152675 61813745 69382775 97135885 135990239 178934525 309068725 485679425 679951195 3399755975