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34201422312 = 23341167208129
BaseRepresentation
bin11111110110100100…
…000100100111101000
310021021120000021021220
4133312210010213220
51030021031003222
623413435102040
72320354202331
oct376644044750
9107246007256
1034201422312
11135608a1882
126765ba1920
1332c094b2c5
141926431288
15d528d9b5c
hex7f69049e8

34201422312 has 64 divisors (see below), whose sum is σ = 88113916800. Its totient is φ = 11055759360.

The previous prime is 34201422289. The next prime is 34201422313. The reversal of 34201422312 is 21322410243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34201422313) 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, 60264 + ... + 268392.

It is an arithmetic number, because the mean of its divisors is an integer number (1376779950).

Almost surely, 234201422312 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 34201422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44056958400).

34201422312 is an abundant number, since it is smaller than the sum of its proper divisors (53912494488).

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

34201422312 is a wasteful number, since it uses less digits than its factorization.

34201422312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208346 (or 208342 counting only the distinct ones).

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

Adding to 34201422312 its reverse (21322410243), we get a palindrome (55523832555).

The spelling of 34201422312 in words is "thirty-four billion, two hundred one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 167 246 328 334 492 501 668 984 1002 1336 2004 4008 6847 13694 20541 27388 41082 54776 82164 164328 208129 416258 624387 832516 1248774 1665032 2497548 4995096 8533289 17066578 25599867 34133156 34757543 51199734 68266312 69515086 102399468 104272629 139030172 204798936 208545258 278060344 417090516 834181032 1425059263 2850118526 4275177789 5700237052 8550355578 11400474104 17100711156 34201422312