Search a number
-
+
3402798516 = 2232137270937
BaseRepresentation
bin1100101011010010…
…1001010110110100
322210010222002000200
43022310221112310
523432104023031
61321353440500
7150216211245
oct31264512664
98703862020
103402798516
111496877987
127ab710130
13422c95860
14243cd8ccc
1514db0b8e6
hexcad295b4

3402798516 has 36 divisors (see below), whose sum is σ = 9263175012. Its totient is φ = 1047014784.

The previous prime is 3402798463. The next prime is 3402798517. The reversal of 3402798516 is 6158972043.

3402798516 is a `hidden beast` number, since 3 + 40 + 2 + 7 + 98 + 516 = 666.

3402798516 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2043401616 + 1359396900 = 45204^2 + 36870^2 .

It is a tau number, because it is divible by the number of its divisors (36).

3402798516 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402798517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635001 + ... + 3635936.

It is an arithmetic number, because the mean of its divisors is an integer number (257310417).

It is a 1-persistent number, because it is pandigital, but 2⋅3402798516 = 6805597032 is not.

Almost surely, 23402798516 is an apocalyptic number.

3402798516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3402798516 is an abundant number, since it is smaller than the sum of its proper divisors (5860376496).

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

3402798516 is a wasteful number, since it uses less digits than its factorization.

3402798516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270960 (or 7270955 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3402798516 is about 58333.5110892530. The cubic root of 3402798516 is about 1504.1070432009.

The spelling of 3402798516 in words is "three billion, four hundred two million, seven hundred ninety-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 7270937 14541874 21812811 29083748 43625622 65438433 87251244 94522181 130876866 189044362 261753732 283566543 378088724 567133086 850699629 1134266172 1701399258 3402798516