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34699016448 = 283215060337
BaseRepresentation
bin100000010100001110…
…001111100100000000
310022120020022200010100
4200110032033210000
51032030422011243
623535052202400
72335605526155
oct402416174400
9108506280110
1034699016448
11137967656a8
126884769400
13336ca702c5
14197255c22c
15d8142a0d3
hex81438f900

34699016448 has 54 divisors (see below), whose sum is σ = 100045825334. Its totient is φ = 11566338048.

The previous prime is 34699016423. The next prime is 34699016477. The reversal of 34699016448 is 84461099643.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29347801344 + 5351215104 = 171312^2 + 73152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34699016394 and 34699016403.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7527865 + ... + 7532472.

Almost surely, 234699016448 is an apocalyptic number.

It is an amenable number.

34699016448 is an abundant number, since it is smaller than the sum of its proper divisors (65346808886).

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

34699016448 is a wasteful number, since it uses less digits than its factorization.

34699016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060359 (or 15060342 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34699016448 in words is "thirty-four billion, six hundred ninety-nine million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 15060337 30120674 45181011 60241348 90362022 120482696 135543033 180724044 240965392 271086066 361448088 481930784 542172132 722896176 963861568 1084344264 1445792352 1927723136 2168688528 2891584704 3855446272 4337377056 5783169408 8674754112 11566338816 17349508224 34699016448