Search a number
-
+
34342523424 = 2533113613481
BaseRepresentation
bin11111111110111110…
…010101001000100000
310021122101111221122000
4133332332111020200
51030313141222144
623435435244000
72324016426666
oct377676251040
9107571457560
1034342523424
1113623506170
1267a52a9600
133313c528a1
14193b080c36
15d5eeac769
hex7fef95220

34342523424 has 96 divisors (see below), whose sum is σ = 109271695680. Its totient is φ = 10406822400.

The previous prime is 34342523419. The next prime is 34342523437. The reversal of 34342523424 is 42432524343.

34342523424 is a `hidden beast` number, since 34 + 34 + 252 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797237 + ... + 1816244.

It is an arithmetic number, because the mean of its divisors is an integer number (1138246830).

Almost surely, 234342523424 is an apocalyptic number.

It is an amenable number.

34342523424 is an abundant number, since it is smaller than the sum of its proper divisors (74929172256).

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

34342523424 is a wasteful number, since it uses less digits than its factorization.

34342523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613511 (or 3613497 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

The spelling of 34342523424 in words is "thirty-four billion, three hundred forty-two million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 3613481 7226962 10840443 14453924 21680886 28907848 32521329 39748291 43361772 57815696 65042658 79496582 86723544 97563987 115631392 119244873 130085316 158993164 173447088 195127974 238489746 260170632 317986328 346894176 357734619 390255948 476979492 520341264 635972656 715469238 780511896 953958984 1040682528 1073203857 1271945312 1430938476 1561023792 1907917968 2146407714 2861876952 3122047584 3815835936 4292815428 5723753904 8585630856 11447507808 17171261712 34342523424