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34646414640 = 2435144360061
BaseRepresentation
bin100000010001000101…
…100101010100110000
310022102120100020000020
4200101011211110300
51031423440232030
623525532523440
72334366444135
oct402105452460
9108376306006
1034646414640
1113769aa8132
12686b020580
133361bb3886
14196958858c
15d7b9d9510
hex811165530

34646414640 has 40 divisors (see below), whose sum is σ = 107403886128. Its totient is φ = 9239043840.

The previous prime is 34646414611. The next prime is 34646414651. The reversal of 34646414640 is 4641464643.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34646414592 and 34646414601.

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, 72179791 + ... + 72180270.

Almost surely, 234646414640 is an apocalyptic number.

34646414640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34646414640 is an abundant number, since it is smaller than the sum of its proper divisors (72757471488).

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

34646414640 is a wasteful number, since it uses less digits than its factorization.

34646414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144360077 (or 144360071 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 34646414640 in words is "thirty-four billion, six hundred forty-six million, four hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 144360061 288720122 433080183 577440244 721800305 866160366 1154880488 1443600610 1732320732 2165400915 2309760976 2887201220 3464641464 4330801830 5774402440 6929282928 8661603660 11548804880 17323207320 34646414640