Search a number
-
+
34145136 = 2432317649
BaseRepresentation
bin1000001001000…
…0001101110000
32101020202022200
42002100031300
532220121021
63215503200
7563141334
oct202201560
971222280
1034145136
1118301823
12b527b00
1370c692c
14476b7c4
152ee7126
hex2090370

34145136 has 60 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 11013120.

The previous prime is 34145131. The next prime is 34145207. The reversal of 34145136 is 63154143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640 + ... + 8288.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240).

Almost surely, 234145136 is an apocalyptic number.

34145136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34145136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

34145136 is an abundant number, since it is smaller than the sum of its proper divisors (64509264).

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

34145136 is a wasteful number, since it uses less digits than its factorization.

34145136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7685 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 34145136 is about 5843.3839511023. The cubic root of 34145136 is about 324.4214907692.

Adding to 34145136 its reverse (63154143), we get a palindrome (97299279).

The spelling of 34145136 in words is "thirty-four million, one hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 7649 15298 22947 30596 45894 61192 68841 91788 122384 137682 183576 237119 275364 367152 474238 550728 711357 948476 1101456 1422714 1896952 2134071 2845428 3793904 4268142 5690856 8536284 11381712 17072568 34145136