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4354534242 = 23673163251
BaseRepresentation
bin1000000111000110…
…01110101101100010
3102020110211021000000
410003203032231202
532404230043432
62000032440430
7212623634052
oct40343165542
912213737000
104354534242
111935026033
12a163a9116
135452046a6
142d4481562
151a745757c
hex1038ceb62

4354534242 has 112 divisors (see below), whose sum is σ = 10028073888. Its totient is φ = 1417176000.

The previous prime is 4354534231. The next prime is 4354534267. The reversal of 4354534242 is 2424354534.

4354534242 is a `hidden beast` number, since 43 + 545 + 34 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4354534197 and 4354534206.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17348617 + ... + 17348867.

It is an arithmetic number, because the mean of its divisors is an integer number (89536374).

Almost surely, 24354534242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4354534242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014036944).

4354534242 is an abundant number, since it is smaller than the sum of its proper divisors (5673539646).

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

4354534242 is a wasteful number, since it uses less digits than its factorization.

4354534242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4354534242 is about 65988.8948384499. The cubic root of 4354534242 is about 1632.9788880289.

Adding to 4354534242 its reverse (2424354534), we get a palindrome (6778888776).

The spelling of 4354534242 in words is "four billion, three hundred fifty-four million, five hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 163 219 243 251 326 438 486 489 502 657 729 753 978 1314 1458 1467 1506 1971 2259 2934 3942 4401 4518 5913 6777 8802 11826 11899 13203 13554 17739 18323 20331 23798 26406 35478 35697 36646 39609 40662 40913 53217 54969 60993 71394 79218 81826 106434 107091 109938 118827 121986 122739 164907 182979 214182 237654 245478 321273 329814 365958 368217 494721 642546 736434 963819 989442 1104651 1484163 1927638 2209302 2891457 2968326 2986649 3313953 4452489 5782914 5973298 6627906 8674371 8904978 8959947 9941859 13357467 17348742 17919894 19883718 26714934 26879841 29825577 53759682 59651154 80639523 161279046 241918569 483837138 725755707 1451511414 2177267121 4354534242