Search a number
-
+
340032514020 = 223518211311197
BaseRepresentation
bin1001111001010111000…
…01000110011111100100
31012111200110011110002120
410330223201012133210
521032341310422040
6420113032505540
733365215452243
oct4745341063744
91174613143076
10340032514020
11121230542631
1255a9824b2b0
13260ac856524
1412659b7495a
158ca1e697d0
hex4f2b8467e4

340032514020 has 48 divisors (see below), whose sum is σ = 952146379968. Its totient is φ = 90670066560.

The previous prime is 340032513967. The next prime is 340032514037. The reversal of 340032514020 is 20415230043.

340032514020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400325140202 (a number of 24 digits) contains 22 as substring.

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, 937062 + ... + 1248258.

It is an arithmetic number, because the mean of its divisors is an integer number (19836382916).

Almost surely, 2340032514020 is an apocalyptic number.

340032514020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340032514020 is an abundant number, since it is smaller than the sum of its proper divisors (612113865948).

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

340032514020 is a wasteful number, since it uses less digits than its factorization.

340032514020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329420 (or 329418 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 340032514020 its reverse (20415230043), we get a palindrome (360447744063).

The spelling of 340032514020 in words is "three hundred forty billion, thirty-two million, five hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 18211 36422 54633 72844 91055 109266 182110 218532 273165 311197 364220 546330 622394 933591 1092660 1244788 1555985 1867182 3111970 3734364 4667955 6223940 9335910 18671820 5667208567 11334417134 17001625701 22668834268 28336042835 34003251402 56672085670 68006502804 85008128505 113344171340 170016257010 340032514020