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340402000 = 2453295869
BaseRepresentation
bin10100010010100…
…001111101010000
3212201112012202111
4110102201331100
51144120331000
653435555104
711302240441
oct2422417520
9781465674
10340402000
1116516a074
1295bbba94
13556a5603
14332cd2c8
151ed3ecba
hex144a1f50

340402000 has 80 divisors (see below), whose sum is σ = 851619600. Its totient is φ = 131443200.

The previous prime is 340401977. The next prime is 340402019. The reversal of 340402000 is 204043.

It can be written as a sum of positive squares in 8 ways, for example, as 184851216 + 155550784 = 13596^2 + 12472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55066 + ... + 60934.

It is an arithmetic number, because the mean of its divisors is an integer number (10645245).

Almost surely, 2340402000 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 340402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425809800).

340402000 is an abundant number, since it is smaller than the sum of its proper divisors (511217600).

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

340402000 is a wasteful number, since it uses less digits than its factorization.

340402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 340402000 is about 18449.9864498595. The cubic root of 340402000 is about 698.2281720247.

Adding to 340402000 its reverse (204043), we get a palindrome (340606043).

The spelling of 340402000 in words is "three hundred forty million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 5869 7250 11600 11738 14500 23476 29000 29345 46952 58000 58690 93904 117380 146725 170201 234760 293450 340402 469520 586900 680804 733625 851005 1173800 1361608 1467250 1702010 2347600 2723216 2934500 3404020 4255025 5869000 6808040 8510050 11738000 13616080 17020100 21275125 34040200 42550250 68080400 85100500 170201000 340402000