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34414330146 = 23719411051847
BaseRepresentation
bin100000000011010000…
…010000000100100010
310021211101122002221020
4200003100100010202
51030440032031041
623450522310310
72325550660020
oct400320200442
9107741562836
1034414330146
111365aaa0669
126805358396
133325aa4881
141946813710
15d66443866
hex803410122

34414330146 has 64 divisors (see below), whose sum is σ = 84821022720. Its totient is φ = 9087949440.

The previous prime is 34414330123. The next prime is 34414330157. The reversal of 34414330146 is 64103341443.

It is a happy number.

It is a super-3 number, since 3×344143301463 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon 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, 493206 + ... + 558641.

It is an arithmetic number, because the mean of its divisors is an integer number (1325328480).

Almost surely, 234414330146 is an apocalyptic number.

34414330146 is an abundant number, since it is smaller than the sum of its proper divisors (50406692574).

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

34414330146 is a wasteful number, since it uses less digits than its factorization.

34414330146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051919.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 34414330146 its reverse (64103341443), we get a palindrome (98517671589).

The spelling of 34414330146 in words is "thirty-four billion, four hundred fourteen million, three hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 41 42 57 82 114 123 133 246 266 287 399 574 779 798 861 1558 1722 2337 4674 5453 10906 16359 32718 1051847 2103694 3155541 6311082 7362929 14725858 19985093 22088787 39970186 43125727 44177574 59955279 86251454 119910558 129377181 139895651 258754362 279791302 301880089 419686953 603760178 819388813 839373906 905640267 1638777626 1811280534 2458166439 4916332878 5735721691 11471443382 17207165073 34414330146