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340230320 = 24529532767
BaseRepresentation
bin10100010001111…
…000000010110000
3212201012111020222
4110101320002300
51144044332240
653432152212
711300624063
oct2421700260
9781174228
10340230320
11165062091
1295b38668
1355645421
14332868da
151ed08eb5
hex144780b0

340230320 has 80 divisors (see below), whose sum is σ = 834053760. Its totient is φ = 128873472.

The previous prime is 340230271. The next prime is 340230323. The reversal of 340230320 is 23032043.

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

It is not an unprimeable number, because it can be changed into a prime (340230323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121577 + ... + 124343.

It is an arithmetic number, because the mean of its divisors is an integer number (10425672).

Almost surely, 2340230320 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 340230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417026880).

340230320 is an abundant number, since it is smaller than the sum of its proper divisors (493823440).

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

340230320 is a wasteful number, since it uses less digits than its factorization.

340230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 340230320 is about 18445.3332851429. Note that the first 3 decimals coincide. The cubic root of 340230320 is about 698.1107696881.

Adding to 340230320 its reverse (23032043), we get a palindrome (363262363).

The spelling of 340230320 in words is "three hundred forty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 424 464 530 580 848 1060 1160 1537 2120 2320 2767 3074 4240 5534 6148 7685 11068 12296 13835 15370 22136 24592 27670 30740 44272 55340 61480 80243 110680 122960 146651 160486 221360 293302 320972 401215 586604 641944 733255 802430 1173208 1283888 1466510 1604860 2346416 2933020 3209720 4252879 5866040 6419440 8505758 11732080 17011516 21264395 34023032 42528790 68046064 85057580 170115160 340230320