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34458908744 = 231317191025807
BaseRepresentation
bin100000000101111010…
…010011100001001000
310021221111111221021102
4200011322103201020
51031032440034434
623455154000532
72326631614541
oct400572234110
9107844457242
1034458908744
1113683179187
126818276148
1333320b2440
14194c6d94c8
15d6a2ec07e
hex805e93848

34458908744 has 64 divisors (see below), whose sum is σ = 77551084800. Its totient is φ = 14180742144.

The previous prime is 34458908741. The next prime is 34458908747. The reversal of 34458908744 is 44780985443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34458908741) and next prime (34458908747).

It is a self number, because there is not a number n which added to its sum of digits gives 34458908744.

It is not an unprimeable number, because it can be changed into a prime (34458908741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479312 + ... + 546495.

It is an arithmetic number, because the mean of its divisors is an integer number (1211735700).

Almost surely, 234458908744 is an apocalyptic number.

34458908744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34458908744 is an abundant number, since it is smaller than the sum of its proper divisors (43092176056).

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

34458908744 is a wasteful number, since it uses less digits than its factorization.

34458908744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025862 (or 1025858 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 34458908744 in words is "thirty-four billion, four hundred fifty-eight million, nine hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2584 4199 8398 16796 33592 1025807 2051614 4103228 8206456 13335491 17438719 19490333 26670982 34877438 38980666 53341964 69754876 77961332 106683928 139509752 155922664 226703347 253374329 331335661 453406694 506748658 662671322 906813388 1013497316 1325342644 1813626776 2026994632 2650685288 4307363593 8614727186 17229454372 34458908744