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343412052030 = 23353141028919
BaseRepresentation
bin1001111111101001111…
…01000001000000111110
31012211101222100202201000
410333310331001000332
521111301441131110
6421432240031130
733545033164605
oct4776475010076
91184358322630
10343412052030
11122705172553
12566800024a6
13264caa66868
141289a936a3c
158ded9ce1c0
hex4ff4f4103e

343412052030 has 64 divisors (see below), whose sum is σ = 945306316800. Its totient is φ = 88622462880.

The previous prime is 343412051981. The next prime is 343412052059. The reversal of 343412052030 is 30250214343.

343412052030 is a `hidden beast` number, since 3 + 43 + 412 + 0 + 5 + 203 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 343412051985 and 343412052003.

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, 20506090 + ... + 20522829.

It is an arithmetic number, because the mean of its divisors is an integer number (14770411200).

Almost surely, 2343412052030 is an apocalyptic number.

343412052030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343412052030 is an abundant number, since it is smaller than the sum of its proper divisors (601894264770).

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

343412052030 is a wasteful number, since it uses less digits than its factorization.

343412052030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41028966 (or 41028960 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 343412052030 its reverse (30250214343), we get a palindrome (373662266373).

The spelling of 343412052030 in words is "three hundred forty-three billion, four hundred twelve million, fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 41028919 82057838 123086757 205144595 246173514 369260271 410289190 615433785 738520542 1107780813 1230867570 1271896489 1846301355 2215561626 2543792978 3692602710 3815689467 5538904065 6359482445 7631378934 11077808130 11447068401 12718964890 19078447335 22894136802 34341205203 38156894670 57235342005 68682410406 114470684010 171706026015 343412052030