Search a number
-
+
345632341230 = 2325112171866971
BaseRepresentation
bin1010000011110010100…
…10101111110011101110
31020001010201020010220100
411001321102233303232
521130323334404410
6422440432331530
733654043266141
oct5017122576356
91201121203810
10345632341230
1112364449a700
1256b9b6a3ba6
1326792a50157
1412a2b776058
158ecd8a78c0
hex50794afcee

345632341230 has 144 divisors (see below), whose sum is σ = 1045870246512. Its totient is φ = 78860812800.

The previous prime is 345632341217. The next prime is 345632341259. The reversal of 345632341230 is 32143236543.

345632341230 is a `hidden beast` number, since 3 + 4 + 5 + 632 + 3 + 4 + 12 + 3 + 0 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 748356 + ... + 1118615.

It is an arithmetic number, because the mean of its divisors is an integer number (7262987823).

Almost surely, 2345632341230 is an apocalyptic number.

345632341230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345632341230 is an abundant number, since it is smaller than the sum of its proper divisors (700237905282).

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

345632341230 is a wasteful number, since it uses less digits than its factorization.

345632341230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867023 (or 1867009 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 345632341230 its reverse (32143236543), we get a palindrome (377775577773).

The spelling of 345632341230 in words is "three hundred forty-five billion, six hundred thirty-two million, three hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 121 153 165 170 187 198 242 255 306 330 363 374 495 510 561 605 726 765 935 990 1089 1122 1210 1530 1683 1815 1870 2057 2178 2805 3366 3630 4114 5445 5610 6171 8415 10285 10890 12342 16830 18513 20570 30855 37026 61710 92565 185130 1866971 3733942 5600913 9334855 11201826 16802739 18669710 20536681 28004565 31738507 33605478 41073362 56009130 61610043 63477014 84013695 95215521 102683405 123220086 158692535 168027390 184830129 190431042 205366810 225903491 285646563 308050215 317385070 349123577 369660258 451806982 476077605 571293126 616100430 677710473 698247154 924150645 952155210 1047370731 1129517455 1355420946 1428232815 1745617885 1848301290 2033131419 2094741462 2259034910 2856465630 3142112193 3388552365 3491235770 3840359347 4066262838 5236853655 6284224386 6777104730 7680718694 10165657095 10473707310 11521078041 15710560965 19201796735 20331314190 23042156082 31421121930 34563234123 38403593470 57605390205 69126468246 115210780410 172816170615 345632341230