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341146900 = 225219409439
BaseRepresentation
bin10100010101010…
…111110100010100
3212202221001120101
4110111113310110
51144313200100
653503543444
711311462243
oct2425276424
9782831511
10341146900
11165628796
12962bab84
13558a6693
143344495a
151ee3a86a
hex14557d14

341146900 has 72 divisors (see below), whose sum is σ = 782936000. Its totient is φ = 128666880.

The previous prime is 341146891. The next prime is 341146903. The reversal of 341146900 is 9641143.

It is a super-2 number, since 2×3411469002 = 232762414759220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341146903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776881 + ... + 777319.

Almost surely, 2341146900 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 341146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391468000).

341146900 is an abundant number, since it is smaller than the sum of its proper divisors (441789100).

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

341146900 is a wasteful number, since it uses less digits than its factorization.

341146900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 341146900 is about 18470.1624248408. The cubic root of 341146900 is about 698.7371107119.

It can be divided in two parts, 34114 and 6900, that added together give a palindrome (41014).

The spelling of 341146900 in words is "three hundred forty-one million, one hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 409 439 475 818 878 950 1636 1756 1900 2045 2195 4090 4390 7771 8180 8341 8780 10225 10975 15542 16682 20450 21950 31084 33364 38855 40900 41705 43900 77710 83410 155420 166820 179551 194275 208525 359102 388550 417050 718204 777100 834100 897755 1795510 3411469 3591020 4488775 6822938 8977550 13645876 17057345 17955100 34114690 68229380 85286725 170573450 341146900