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34341020412 = 223233110737511
BaseRepresentation
bin11111111110111000…
…100110001011111100
310021122021200120212220
4133332320212023330
51030312300123122
623435343125340
72324000600016
oct377670461374
9107567616786
1034341020412
1113622679a06
1267a48a3850
13331384772a
14193abad1b6
15d5ecb225c
hex7fee262fc

34341020412 has 96 divisors (see below), whose sum is σ = 87119069184. Its totient is φ = 10496798400.

The previous prime is 34341020411. The next prime is 34341020437. The reversal of 34341020412 is 21402014343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341020411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896737 + ... + 934247.

It is an arithmetic number, because the mean of its divisors is an integer number (907490304).

Almost surely, 234341020412 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 34341020412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43559534592).

34341020412 is an abundant number, since it is smaller than the sum of its proper divisors (52778048772).

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

34341020412 is a wasteful number, since it uses less digits than its factorization.

34341020412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37679 (or 37677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34341020412 its reverse (21402014343), we get a palindrome (55743034755).

The spelling of 34341020412 in words is "thirty-four billion, three hundred forty-one million, twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 107 124 138 186 214 276 321 372 428 642 713 1284 1426 2139 2461 2852 3317 4278 4922 6634 7383 8556 9844 9951 13268 14766 19902 29532 37511 39804 75022 76291 112533 150044 152582 225066 228873 305164 450132 457746 862753 915492 1162841 1725506 2325682 2588259 3451012 3488523 4013677 4651364 5176518 6977046 8027354 10353036 12041031 13954092 16054708 24082062 26745343 48164124 53490686 80236029 92314571 106981372 124423987 160472058 184629142 248847974 276943713 320944116 369258284 373271961 497695948 553887426 746543922 1107774852 1493087844 2861751701 5723503402 8585255103 11447006804 17170510206 34341020412