Search a number
-
+
34135464 = 23311314397
BaseRepresentation
bin1000001000110…
…1110110101000
32101020021001110
42002031312220
532214313324
63215350320
7563101206
oct202156650
971207043
1034135464
11182a5530
12b5223a0
1370c23cc
144768076
152ee4329
hex208dda8

34135464 has 128 divisors (see below), whose sum is σ = 99348480. Its totient is φ = 9676800.

The previous prime is 34135463. The next prime is 34135499. The reversal of 34135464 is 46453143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351864 + ... + 351960.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 234135464 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 34135464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674240).

34135464 is an abundant number, since it is smaller than the sum of its proper divisors (65213016).

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

34135464 is a wasteful number, since it uses less digits than its factorization.

34135464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 34135464 is about 5842.5562898444. The cubic root of 34135464 is about 324.3908558449.

The spelling of 34135464 in words is "thirty-four million, one hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 43 44 62 66 86 88 93 97 124 129 132 172 186 194 248 258 264 291 341 344 372 388 473 516 582 682 744 776 946 1023 1032 1067 1164 1333 1364 1419 1892 2046 2134 2328 2666 2728 2838 3007 3201 3784 3999 4092 4171 4268 5332 5676 6014 6402 7998 8184 8342 8536 9021 10664 11352 12028 12513 12804 14663 15996 16684 18042 24056 25026 25608 29326 31992 33077 33368 36084 43989 45881 50052 58652 66154 72168 87978 91762 99231 100104 117304 129301 132308 137643 175956 183524 198462 258602 264616 275286 351912 367048 387903 396924 517204 550572 775806 793848 1034408 1101144 1422311 1551612 2844622 3103224 4266933 5689244 8533866 11378488 17067732 34135464