Search a number
-
+
345511680 = 283589977
BaseRepresentation
bin10100100110000…
…001011100000000
3220002010210220220
4110212001130000
51201422333210
654141303040
711363541453
oct2446013400
9802123826
10345511680
1116803a048
1297864a80
13567742a7
1433c5d49a
15204edc70
hex14981700

345511680 has 72 divisors (see below), whose sum is σ = 1103490192. Its totient is φ = 92135424.

The previous prime is 345511679. The next prime is 345511687. The reversal of 345511680 is 86115543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345511687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41149 + ... + 48828.

Almost surely, 2345511680 is an apocalyptic number.

345511680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345511680 is an abundant number, since it is smaller than the sum of its proper divisors (757978512).

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

345511680 is an equidigital number, since it uses as much as digits as its factorization.

345511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90001 (or 89987 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 345511680 is about 18587.9444802270. The cubic root of 345511680 is about 701.7044721598.

The spelling of 345511680 in words is "three hundred forty-five million, five hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 89977 179954 269931 359908 449885 539862 719816 899770 1079724 1349655 1439632 1799540 2159448 2699310 2879264 3599080 4318896 5398620 5758528 7198160 8637792 10797240 11517056 14396320 17275584 21594480 23034112 28792640 34551168 43188960 57585280 69102336 86377920 115170560 172755840 345511680