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34003011444 = 22329432272321
BaseRepresentation
bin11111101010101111…
…001100011101110100
310020202201122221202020
4133222233030131310
51024114232331234
623342030313140
72312424554103
oct375257143564
9106681587666
1034003011444
11134698a4856
12670b6587b0
13328b7cc41c
141907d4403a
15d40296549
hex7eabcc774

34003011444 has 48 divisors (see below), whose sum is σ = 83985021120. Its totient is φ = 10688993280.

The previous prime is 34003011403. The next prime is 34003011467. The reversal of 34003011444 is 44411030043.

It is a super-3 number, since 3×340030114443 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121197 + ... + 1151124.

It is an arithmetic number, because the mean of its divisors is an integer number (1749687940).

Almost surely, 234003011444 is an apocalyptic number.

It is an amenable number.

34003011444 is an abundant number, since it is smaller than the sum of its proper divisors (49982009676).

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

34003011444 is a wasteful number, since it uses less digits than its factorization.

34003011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272400 (or 2272398 counting only the distinct ones).

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

Adding to 34003011444 its reverse (44411030043), we get a palindrome (78414041487).

The spelling of 34003011444 in words is "thirty-four billion, three million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 14964 2272321 4544642 6816963 9089284 13633926 27267852 65897309 97709803 131794618 195419606 197691927 263589236 293129409 390839212 395383854 586258818 790767708 1172517636 2833584287 5667168574 8500752861 11334337148 17001505722 34003011444