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345240522 = 2331117179191
BaseRepresentation
bin10100100100111…
…111001111001010
3220001122000222000
4110210333033022
51201340144042
654131411430
711361332064
oct2444771712
9801560860
10345240522
11167974350
1297753b76
13566aaa43
1433bcc734
152049874c
hex1493f3ca

345240522 has 128 divisors (see below), whose sum is σ = 895795200. Its totient is φ = 97401600.

The previous prime is 345240517. The next prime is 345240547. The reversal of 345240522 is 225042543.

It is a happy number.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1807447 + ... + 1807637.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2345240522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345240522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

345240522 is an abundant number, since it is smaller than the sum of its proper divisors (550554678).

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

345240522 is a wasteful number, since it uses less digits than its factorization.

345240522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345240522 is about 18580.6491275197. The cubic root of 345240522 is about 701.5208579345.

The spelling of 345240522 in words is "three hundred forty-five million, two hundred forty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 179 187 191 198 297 306 358 374 382 459 537 561 573 594 918 1074 1122 1146 1611 1683 1719 1969 2101 3043 3222 3247 3366 3438 3938 4202 4833 5049 5157 5907 6086 6303 6494 9129 9666 9741 10098 10314 11814 12606 17721 18258 18909 19482 27387 29223 33473 34189 35442 35717 37818 53163 54774 56727 58446 66946 68378 71434 82161 87669 100419 102567 106326 107151 113454 164322 175338 200838 205134 214302 301257 307701 321453 376079 581213 602514 615402 642906 752158 903771 923103 964359 1128237 1162426 1743639 1807542 1846206 1928718 2256474 3384711 3487278 5230917 6393343 6769422 10154133 10461834 12786686 15692751 19180029 20308266 31385502 38360058 57540087 115080174 172620261 345240522