Search a number
-
+
34240425030 = 23357123114717
BaseRepresentation
bin11111111000111000…
…110110110001000110
310021101021101210222000
4133320320312301012
51030111022100110
623421351050130
72321336545020
oct377070666106
9107337353860
1034240425030
1113580911129
126777070946
1332c8a55c36
14192b6a5010
15d560411c0
hex7f8e36c46

34240425030 has 128 divisors (see below), whose sum is σ = 104443637760. Its totient is φ = 7819493760.

The previous prime is 34240425029. The next prime is 34240425119. The reversal of 34240425030 is 3052404243.

34240425030 is a `hidden beast` number, since 3 + 4 + 2 + 404 + 250 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34240424985 and 34240425003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319232 + ... + 2333948.

It is an arithmetic number, because the mean of its divisors is an integer number (815965920).

Almost surely, 234240425030 is an apocalyptic number.

34240425030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240425030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52221818880).

34240425030 is an abundant number, since it is smaller than the sum of its proper divisors (70203212730).

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

34240425030 is a wasteful number, since it uses less digits than its factorization.

34240425030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34240425030 its reverse (3052404243), we get a palindrome (37292829273).

The spelling of 34240425030 in words is "thirty-four billion, two hundred forty million, four hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1231 1890 2462 3693 6155 7386 8617 11079 12310 14717 17234 18465 22158 25851 29434 33237 36930 43085 44151 51702 55395 66474 73585 77553 86170 88302 103019 110790 129255 132453 147170 155106 166185 206038 220755 232659 258510 264906 309057 332370 387765 397359 441510 465318 515095 618114 662265 775530 794718 927171 1030190 1163295 1324530 1545285 1854342 1986795 2326590 2781513 3090570 3973590 4635855 5563026 9271710 13907565 18116627 27815130 36233254 54349881 90583135 108699762 126816389 163049643 181166270 253632778 271749405 326099286 380449167 489148929 543498810 634081945 760898334 815248215 978297858 1141347501 1268163890 1630496430 1902245835 2282695002 2445744645 3424042503 3804491670 4891489290 5706737505 6848085006 11413475010 17120212515 34240425030