Search a number
-
+
345425322462 = 231137434769991
BaseRepresentation
bin1010000011011001111…
…01000010000111011110
31020000121021200111112120
411001230331002013132
521124412340304322
6422404115243410
733645650536653
oct5015475020736
91200537614476
10345425322462
11123548653410
1256b422a9566
132675bba923c
1412a0c087c2a
158eba613a5c
hex506cf421de

345425322462 has 128 divisors (see below), whose sum is σ = 808888025088. Its totient is φ = 97358889600.

The previous prime is 345425322457. The next prime is 345425322469. The reversal of 345425322462 is 264223524543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345425322469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4900287 + ... + 4970277.

It is an arithmetic number, because the mean of its divisors is an integer number (6319437696).

Almost surely, 2345425322462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345425322462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404444012544).

345425322462 is an abundant number, since it is smaller than the sum of its proper divisors (463462702626).

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

345425322462 is a wasteful number, since it uses less digits than its factorization.

345425322462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70134.

The product of its digits is 1382400, while the sum is 42.

The spelling of 345425322462 in words is "three hundred forty-five billion, four hundred twenty-five million, three hundred twenty-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 37 43 47 66 74 86 94 111 129 141 222 258 282 407 473 517 814 946 1034 1221 1419 1551 1591 1739 2021 2442 2838 3102 3182 3478 4042 4773 5217 6063 9546 10434 12126 17501 19129 22231 35002 38258 44462 52503 57387 66693 69991 74777 105006 114774 133386 139982 149554 209973 224331 419946 448662 769901 822547 1539802 1645094 2309703 2467641 2589667 3009613 3289577 4619406 4935282 5179334 6019226 6579154 7769001 9028839 9868731 15538002 18057678 19737462 28486337 33105743 36185347 56972674 66211486 72370694 85459011 99317229 108556041 111355681 121714349 141451811 170918022 198634458 217112082 222711362 243428698 282903622 334067043 365143047 424355433 668134086 730286094 848710866 1224912491 1338857839 1555969921 2449824982 2677715678 3111939842 3674737473 4016573517 4667909763 5233717007 7349474946 8033147034 9335819526 10467434014 15701151021 31402302042 57570887077 115141774154 172712661231 345425322462