Search a number
-
+
343414342431030 = 235135691547538833
BaseRepresentation
bin100111000010101010110000…
…1111001000011000100110110
31200000221002102222112020020210
41032011111201321003010312
5330003000033130243110
63214214212044210250
7132222603354411513
oct11605254171030466
91600832388466223
10343414342431030
119a471228566352
1232624000539986
1311980aab382690
1460b34b2b4030a
1529a7edd8dc520
hex1385561e43136

343414342431030 has 64 divisors (see below), whose sum is σ = 889153912463040. Its totient is φ = 84384197431296.

The previous prime is 343414342431019. The next prime is 343414342431107. The reversal of 343414342431030 is 30134243414343.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 343414342431030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773547507 + ... + 773991326.

It is an arithmetic number, because the mean of its divisors is an integer number (13893029882235).

Almost surely, 2343414342431030 is an apocalyptic number.

343414342431030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343414342431030 is an abundant number, since it is smaller than the sum of its proper divisors (545739570032010).

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

343414342431030 is a wasteful number, since it uses less digits than its factorization.

343414342431030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547539425.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 343414342431030 its reverse (30134243414343), we get a palindrome (373548585845373).

The spelling of 343414342431030 in words is "three hundred forty-three trillion, four hundred fourteen billion, three hundred forty-two million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 569 1138 1707 2845 3414 5690 7397 8535 14794 17070 22191 36985 44382 73970 110955 221910 1547538833 3095077666 4642616499 7737694165 9285232998 15475388330 20118004829 23213082495 40236009658 46426164990 60354014487 100590024145 120708028974 201180048290 301770072435 603540144870 880549595977 1761099191954 2641648787931 4402747979885 5283297575862 8805495959770 11447144747701 13208243939655 22894289495402 26416487879310 34341434243103 57235723738505 68682868486206 114471447477010 171707171215515 343414342431030