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34699968 = 263343467
BaseRepresentation
bin1000010001011…
…1101011000000
32102021221102000
42010113223000
532340344333
63235424000
7600642042
oct204275300
972257360
1034699968
1118650666
12b755000
13725c334
144873a92
1530a6713
hex2117ac0

34699968 has 112 divisors (see below), whose sum is σ = 104607360. Its totient is φ = 11273472.

The previous prime is 34699963. The next prime is 34699999. The reversal of 34699968 is 86999643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34699963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74071 + ... + 74537.

Almost surely, 234699968 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 34699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303680).

34699968 is an abundant number, since it is smaller than the sum of its proper divisors (69907392).

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

34699968 is a wasteful number, since it uses less digits than its factorization.

34699968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 34699968 is about 5890.6678738493. The cubic root of 34699968 is about 326.1692573342.

The spelling of 34699968 in words is "thirty-four million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 467 516 576 688 774 864 934 1032 1161 1376 1401 1548 1728 1868 2064 2322 2752 2802 3096 3736 4128 4203 4644 5604 6192 7472 8256 8406 9288 11208 12384 12609 14944 16812 18576 20081 22416 24768 25218 29888 33624 37152 40162 44832 50436 60243 67248 74304 80324 89664 100872 120486 134496 160648 180729 201744 240972 268992 321296 361458 403488 481944 542187 642592 722916 806976 963888 1084374 1285184 1445832 1927776 2168748 2891664 3855552 4337496 5783328 8674992 11566656 17349984 34699968