[go: up one dir, main page]

Search a number
-
+
345499680 = 2535719791
BaseRepresentation
bin10100100101111…
…110100000100000
3220002010012110110
4110211332200200
51201421442210
654141131320
711363461461
oct2445764040
9802105413
10345499680
11168031029
1297859b40
135676b9a6
1433c58d68
15204ea420
hex1497e820

345499680 has 48 divisors (see below), whose sum is σ = 1088325504. Its totient is φ = 92133120.

The previous prime is 345499657. The next prime is 345499697. The reversal of 345499680 is 86994543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359416 + ... + 360375.

It is an arithmetic number, because the mean of its divisors is an integer number (22673448).

Almost surely, 2345499680 is an apocalyptic number.

345499680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345499680 is an abundant number, since it is smaller than the sum of its proper divisors (742825824).

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

345499680 is a wasteful number, since it uses less digits than its factorization.

345499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719809 (or 719801 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 345499680 is about 18587.6216875640. The cubic root of 345499680 is about 701.6963484102.

The spelling of 345499680 in words is "three hundred forty-five million, four hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 719791 1439582 2159373 2879164 3598955 4318746 5758328 7197910 8637492 10796865 11516656 14395820 17274984 21593730 23033312 28791640 34549968 43187460 57583280 69099936 86374920 115166560 172749840 345499680