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34319688 = 23313317347
BaseRepresentation
bin1000001011101…
…0110101001000
32101120121202120
42002322311020
532241212223
63223331240
7564466254
oct202726510
971517676
1034319688
1118410987
12b5b0b20
137158210
1447b5264
15302dbe3
hex20bad48

34319688 has 64 divisors (see below), whose sum is σ = 92957760. Its totient is φ = 10496256.

The previous prime is 34319687. The next prime is 34319689. The reversal of 34319688 is 88691343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34319687) and next prime (34319689).

It is not an unprimeable number, because it can be changed into a prime (34319687) 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 15 ways as a sum of consecutive naturals, for example, 98731 + ... + 99077.

It is an arithmetic number, because the mean of its divisors is an integer number (1452465).

Almost surely, 234319688 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 34319688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46478880).

34319688 is an abundant number, since it is smaller than the sum of its proper divisors (58638072).

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

34319688 is a wasteful number, since it uses less digits than its factorization.

34319688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 34319688 is about 5858.3007775293. The cubic root of 34319688 is about 324.9733721774.

The spelling of 34319688 in words is "thirty-four million, three hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 347 634 694 951 1041 1268 1388 1902 2082 2536 2776 3804 4121 4164 4511 7608 8242 8328 9022 12363 13533 16484 18044 24726 27066 32968 36088 49452 54132 98904 108264 109999 219998 329997 439996 659994 879992 1319988 1429987 2639976 2859974 4289961 5719948 8579922 11439896 17159844 34319688