Search a number
-
+
34322033424 = 2437643158863
BaseRepresentation
bin11111111101110000…
…001010101100010000
310021120221221221122010
4133331300022230100
51030242420032144
623433424142520
72323350320250
oct377560125420
9107527857563
1034322033424
1113612990788
12679a467a40
13330c92a423
141938469960
15d5d2b15b9
hex7fdc0ab10

34322033424 has 80 divisors (see below), whose sum is σ = 101489948672. Its totient is φ = 9790982784.

The previous prime is 34322033423. The next prime is 34322033441. The reversal of 34322033424 is 42433022343.

It is a junction number, because it is equal to n+sod(n) for n = 34322033391 and 34322033400.

It is not an unprimeable number, because it can be changed into a prime (34322033423) 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, 136617 + ... + 295479.

Almost surely, 234322033424 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 34322033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50744974336).

34322033424 is an abundant number, since it is smaller than the sum of its proper divisors (67167915248).

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

34322033424 is a wasteful number, since it uses less digits than its factorization.

34322033424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159524 (or 159518 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 34322033424 its reverse (42433022343), we get a palindrome (76755055767).

The spelling of 34322033424 in words is "thirty-four billion, three hundred twenty-two million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 643 1286 1929 2572 3858 4501 5144 7716 9002 10288 13503 15432 18004 27006 30864 36008 54012 72016 108024 158863 216048 317726 476589 635452 953178 1112041 1270904 1906356 2224082 2541808 3336123 3812712 4448164 6672246 7625424 8896328 13344492 17792656 26688984 53377968 102148909 204297818 306446727 408595636 612893454 715042363 817191272 1225786908 1430084726 1634382544 2145127089 2451573816 2860169452 4290254178 4903147632 5720338904 8580508356 11440677808 17161016712 34322033424