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345855798 = 233293747127
BaseRepresentation
bin10100100111010…
…101011100110110
3220002210021222000
4110213111130312
51202014341143
654152520130
711366503641
oct2447253466
9802707860
10345855798
11168254642
12979b0046
1356864b02
1433d0ca58
152056abd3
hex149d5736

345855798 has 128 divisors (see below), whose sum is σ = 840499200. Its totient is φ = 105162624.

The previous prime is 345855749. The next prime is 345855799. The reversal of 345855798 is 897558543.

345855798 is a `hidden beast` number, since 3 + 4 + 585 + 57 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345855799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723211 + ... + 2723337.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2345855798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345855798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420249600).

345855798 is an abundant number, since it is smaller than the sum of its proper divisors (494643402).

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

345855798 is a wasteful number, since it uses less digits than its factorization.

345855798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 345855798 is about 18597.1986600133. The cubic root of 345855798 is about 701.9373528725.

The spelling of 345855798 in words is "three hundred forty-five million, eight hundred fifty-five thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 37 47 54 58 74 87 94 111 127 141 174 222 254 261 282 333 381 423 522 666 762 783 846 999 1073 1143 1269 1363 1566 1739 1998 2146 2286 2538 2726 3219 3429 3478 3683 4089 4699 5217 5969 6438 6858 7366 8178 9398 9657 10434 11049 11938 12267 14097 15651 17907 19314 22098 24534 28194 28971 31302 33147 35814 36801 42291 46953 50431 53721 57942 66294 73602 84582 93906 99441 100862 107442 126873 136271 151293 161163 173101 198882 220853 253746 272542 302586 322326 346202 408813 441706 453879 519303 662559 817626 907758 1038606 1226439 1325118 1361637 1557909 1987677 2452878 2723274 3115818 3679317 3975354 4673727 5963031 6404737 7358634 9347454 11926062 12809474 19214211 38428422 57642633 115285266 172927899 345855798