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234401154640 = 2453977380389
BaseRepresentation
bin1101101001001101100…
…1011100011001010000
3211102000211010102000221
43122103121130121100
512320023143422030
6255403222122424
722635451640332
oct3322331343120
9742024112027
10234401154640
1190455382914
1239518580414
131914745c993
14b4b8c65452
15616d663e7a
hex369365c650

234401154640 has 40 divisors (see below), whose sum is σ = 546355510920. Its totient is φ = 93524276736.

The previous prime is 234401154607. The next prime is 234401154643. The reversal of 234401154640 is 46451104432.

It can be written as a sum of positive squares in 4 ways, for example, as 30245383744 + 204155770896 = 173912^2 + 451836^2 .

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 = 234401154596 and 234401154605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234401154643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3658435 + ... + 3721954.

It is an arithmetic number, because the mean of its divisors is an integer number (13658887773).

Almost surely, 2234401154640 is an apocalyptic number.

234401154640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234401154640 is an abundant number, since it is smaller than the sum of its proper divisors (311954356280).

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

234401154640 is a wasteful number, since it uses less digits than its factorization.

234401154640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380799 (or 7380793 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 234401154640 in words is "two hundred thirty-four billion, four hundred one million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1588 1985 3176 3970 6352 7940 15880 31760 7380389 14760778 29521556 36901945 59043112 73803890 118086224 147607780 295215560 590431120 2930014433 5860028866 11720057732 14650072165 23440115464 29300144330 46880230928 58600288660 117200577320 234401154640