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342330000 = 2435411411
BaseRepresentation
bin10100011001111…
…000101010010000
3212212011011110220
4110121320222100
51200114030000
653545153040
711324520435
oct2431705220
9785134426
10342330000
11166266661
129678b780
1355bcc03c
1433671b8c
15200c11a0
hex14678a90

342330000 has 100 divisors (see below), whose sum is σ = 1105183728. Its totient is φ = 91280000.

The previous prime is 342329963. The next prime is 342330013. The reversal of 342330000 is 33243.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24295 + ... + 35705.

Almost surely, 2342330000 is an apocalyptic number.

342330000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552591864).

342330000 is an abundant number, since it is smaller than the sum of its proper divisors (762853728).

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

342330000 is a wasteful number, since it uses less digits than its factorization.

342330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 342330000 is about 18502.1620358271. The cubic root of 342330000 is about 699.5439205967.

Adding to 342330000 its reverse (33243), we get a palindrome (342363243).

The spelling of 342330000 in words is "three hundred forty-two million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 11411 15000 22822 30000 34233 45644 57055 68466 91288 114110 136932 171165 182576 228220 273864 285275 342330 456440 547728 570550 684660 855825 912880 1141100 1369320 1426375 1711650 2282200 2738640 2852750 3423300 4279125 4564400 5705500 6846600 7131875 8558250 11411000 13693200 14263750 17116500 21395625 22822000 28527500 34233000 42791250 57055000 68466000 85582500 114110000 171165000 342330000