Search a number
-
+
34321131324 = 22334115749369
BaseRepresentation
bin11111111101101100…
…101110011100111100
310021120220021010012000
4133331230232130330
51030242202200244
623433352542300
72323336542234
oct377554563474
9107526233160
1034321131324
1113612424a47
12679a0b1990
13330c6a293c
1419382b2cc4
15d5d184169
hex7fdb2e73c

34321131324 has 96 divisors (see below), whose sum is σ = 91733409600. Its totient is φ = 11090027520.

The previous prime is 34321131319. The next prime is 34321131329. The reversal of 34321131324 is 42313112343.

It is a happy number.

34321131324 is a `hidden beast` number, since 3 + 4 + 321 + 1 + 313 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (34321131319) and next prime (34321131329).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321131329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670512 + ... + 719880.

It is an arithmetic number, because the mean of its divisors is an integer number (955556350).

Almost surely, 234321131324 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 34321131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45866704800).

34321131324 is an abundant number, since it is smaller than the sum of its proper divisors (57412278276).

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

34321131324 is a wasteful number, since it uses less digits than its factorization.

34321131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49580 (or 49572 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34321131324 its reverse (42313112343), we get a palindrome (76634243667).

The spelling of 34321131324 in words is "thirty-four billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 157 164 246 314 369 471 492 628 738 942 1107 1413 1476 1884 2214 2826 4239 4428 5652 6437 8478 12874 16956 19311 25748 38622 49369 57933 77244 98738 115866 148107 173799 197476 231732 296214 347598 444321 592428 695196 888642 1332963 1777284 2024129 2665926 4048258 5331852 6072387 7750933 8096516 12144774 15501866 18217161 23252799 24289548 31003732 36434322 46505598 54651483 69758397 72868644 93011196 109302966 139516794 209275191 218605932 279033588 317788253 418550382 635576506 837100764 953364759 1271153012 1906729518 2860094277 3813459036 5720188554 8580282831 11440377108 17160565662 34321131324