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34002240252 = 22336717234481
BaseRepresentation
bin11111101010101100…
…010000001011111100
310020202200012202212120
4133222230100023330
51024114033142002
623342002002540
72312415162531
oct375254201374
9106680182776
1034002240252
1113469418402
12670b346450
13328b5bc3b6
141907bc2d88
15d40192cbc
hex7eab102fc

34002240252 has 48 divisors (see below), whose sum is σ = 79618678272. Its totient is φ = 11294115840.

The previous prime is 34002240221. The next prime is 34002240299. The reversal of 34002240252 is 25204220043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7585852 + ... + 7590332.

It is an arithmetic number, because the mean of its divisors is an integer number (1658722464).

Almost surely, 234002240252 is an apocalyptic number.

It is an amenable number.

34002240252 is an abundant number, since it is smaller than the sum of its proper divisors (45616438020).

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

34002240252 is a wasteful number, since it uses less digits than its factorization.

34002240252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 34002240252 its reverse (25204220043), we get a palindrome (59206460295).

The spelling of 34002240252 in words is "thirty-four billion, two million, two hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 367 734 1101 1468 1723 2202 3446 4404 4481 5169 6892 8962 10338 13443 17924 20676 26886 53772 632341 1264682 1644527 1897023 2529364 3289054 3794046 4933581 6578108 7588092 7720763 9867162 15441526 19734324 23162289 30883052 46324578 92649156 2833520021 5667040042 8500560063 11334080084 17001120126 34002240252