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3414064524 = 22313233732551
BaseRepresentation
bin1100101101111110…
…0111110110001100
322210221011110002020
43023133213312030
523443000031044
61322435130140
7150414032613
oct31337476614
98727143066
103414064524
1114a2172232
127b3443950
1342540b730
142455cc87a
1514ead4a19
hexcb7e7d8c

3414064524 has 96 divisors (see below), whose sum is σ = 8979446784. Its totient is φ = 1001721600.

The previous prime is 3414064499. The next prime is 3414064541. The reversal of 3414064524 is 4254604143.

3414064524 = T346 + T347 + ... + T2737.

It is a happy 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, 1337049 + ... + 1339599.

It is an arithmetic number, because the mean of its divisors is an integer number (93535904).

Almost surely, 23414064524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414064524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489723392).

3414064524 is an abundant number, since it is smaller than the sum of its proper divisors (5565382260).

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

3414064524 is a wasteful number, since it uses less digits than its factorization.

3414064524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 3414064524 is about 58429.9967824747. The cubic root of 3414064524 is about 1505.7651505276.

Adding to 3414064524 its reverse (4254604143), we get a palindrome (7668668667).

The spelling of 3414064524 in words is "three billion, four hundred fourteen million, sixty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 373 598 746 897 1119 1196 1492 1794 2238 2551 3588 4476 4849 5102 7653 8579 9698 10204 14547 15306 17158 19396 25737 29094 30612 33163 34316 51474 58188 58673 66326 99489 102948 111527 117346 132652 176019 198978 223054 234692 334581 352038 397956 446108 669162 704076 762749 951523 1338324 1525498 1903046 2288247 2854569 3050996 3806092 4576494 5709138 9152988 11418276 12369799 21885029 24739598 37109397 43770058 49479196 65655087 74218794 87540116 131310174 148437588 262620348 284505377 569010754 853516131 1138021508 1707032262 3414064524