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34134104023232 = 268954647109661
BaseRepresentation
bin1111100001011011101110…
…01001010010000011000000
311110212012002101202200112112
413300231313021102003000
513433223121112220412
6200332554011514452
710122051626653103
oct760556711220300
9143765071680475
1034134104023232
11a970212935194
1239b3502458a28
131607aa8452a05
14860156c6673a
153e2d8e069722
hex1f0b772520c0

34134104023232 has 56 divisors (see below), whose sum is σ = 68497806595680. Its totient is φ = 16874824693760.

The previous prime is 34134104023207. The next prime is 34134104023403. The reversal of 34134104023232 is 23232040143143.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311214482 + ... + 311324142.

It is an arithmetic number, because the mean of its divisors is an integer number (1223175117780).

Almost surely, 234134104023232 is an apocalyptic number.

34134104023232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34134104023232 is an abundant number, since it is smaller than the sum of its proper divisors (34363702572448).

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

34134104023232 is a wasteful number, since it uses less digits than its factorization.

34134104023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164409 (or 164399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34134104023232 its reverse (23232040143143), we get a palindrome (57366144166375).

The spelling of 34134104023232 in words is "thirty-four trillion, one hundred thirty-four billion, one hundred four million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 54647 109294 109661 218588 219322 437176 438644 874352 877288 1748704 1754576 3497408 3509152 4863583 7018304 9727166 9759829 19454332 19519658 38908664 39039316 77817328 78078632 155634656 156157264 311269312 312314528 624629056 5992644667 11985289334 23970578668 47941157336 95882314672 191764629344 383529258688 533345375363 1066690750726 2133381501452 4266763002904 8533526005808 17067052011616 34134104023232