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340479252036 = 2234721124212
BaseRepresentation
bin1001111010001100010…
…01010001011001000100
31012112211120210002110000
410331012021101121010
521034300142031121
6420225232001300
733412251614400
oct4750611213104
91175746702400
10340479252036
1112143a730500
1255ba1990230
1326151280551
141269d224100
158ccb2b1526
hex4f46251644

340479252036 has 405 divisors, whose sum is σ = 1140793132941. Its totient is φ = 88226107200.

The previous prime is 340479252013. The next prime is 340479252037. The reversal of 340479252036 is 630252974043.

The square root of 340479252036 is 583506.

It is a perfect power (a square), and thus also a powerful number.

340479252036 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 92 + 520 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1615557636 + 338863694400 = 40194^2 + 582120^2 .

It is a super-2 number, since 2×3404792520362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340479251982 and 340479252000.

It is not an unprimeable number, because it can be changed into a prime (340479252037) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 808739106 + ... + 808739526.

Almost surely, 2340479252036 is an apocalyptic number.

340479252036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

340479252036 is the 583506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340479252036

340479252036 is an abundant number, since it is smaller than the sum of its proper divisors (800313880905).

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

340479252036 is a wasteful number, since it uses less digits than its factorization.

340479252036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 340479252036 in words is "three hundred forty billion, four hundred seventy-nine million, two hundred fifty-two thousand, thirty-six".