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341151040 = 2656117477
BaseRepresentation
bin10100010101011…
…000110101000000
3212202221021020201
4110111120311000
51144313313130
653504014544
711311510306
oct2425306500
9782837221
10341151040
1116563090a
1296301454
13558a8529
1433446276
151ee3bbca
hex14558d40

341151040 has 56 divisors (see below), whose sum is σ = 825730632. Its totient is φ = 134215680.

The previous prime is 341150969. The next prime is 341151067. The reversal of 341151040 is 40151143.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 323712064 = 4176^2 + 17992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 341150999 and 341151017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10782 + ... + 28258.

Almost surely, 2341151040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412865316).

341151040 is an abundant number, since it is smaller than the sum of its proper divisors (484579592).

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

341151040 is a wasteful number, since it uses less digits than its factorization.

341151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17555 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 341151040 is about 18470.2744971481. The cubic root of 341151040 is about 698.7399372166.

The spelling of 341151040 in words is "three hundred forty-one million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 17477 19520 34954 69908 87385 139816 174770 279632 349540 559264 699080 1066097 1118528 1398160 2132194 2796320 4264388 5330485 5592640 8528776 10660970 17057552 21321940 34115104 42643880 68230208 85287760 170575520 341151040