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345107040 = 2535718973
BaseRepresentation
bin10100100100011…
…110101001100000
3220001101020212020
4110210132221200
51201321411130
654124501440
711360234655
oct2444365140
9801336766
10345107040
11167893033
12976aa880
1356662065
1433b95c2c
152046de10
hex1491ea60

345107040 has 48 divisors (see below), whose sum is σ = 1087088688. Its totient is φ = 92028416.

The previous prime is 345106999. The next prime is 345107069. The reversal of 345107040 is 40701543.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 345107040.

It is a congruent number.

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, 359007 + ... + 359966.

It is an arithmetic number, because the mean of its divisors is an integer number (22647681).

Almost surely, 2345107040 is an apocalyptic number.

345107040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345107040 is an abundant number, since it is smaller than the sum of its proper divisors (741981648).

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

345107040 is a wasteful number, since it uses less digits than its factorization.

345107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718991 (or 718983 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 345107040 is about 18577.0568174832. The cubic root of 345107040 is about 701.4304354879.

Adding to 345107040 its reverse (40701543), we get a palindrome (385808583).

The spelling of 345107040 in words is "three hundred forty-five million, one hundred seven thousand, forty".

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 718973 1437946 2156919 2875892 3594865 4313838 5751784 7189730 8627676 10784595 11503568 14379460 17255352 21569190 23007136 28758920 34510704 43138380 57517840 69021408 86276760 115035680 172553520 345107040