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345140120 = 235131739043
BaseRepresentation
bin10100100100100…
…110101110011000
3220001102221020102
4110210212232120
51201323440440
654125314532
711360433263
oct2444465630
9801387212
10345140120
11167905976
1297705a48
1356674130
1433ba3cda
1520478b15
hex14926b98

345140120 has 64 divisors (see below), whose sum is σ = 885517920. Its totient is φ = 119937024.

The previous prime is 345140101. The next prime is 345140123. The reversal of 345140120 is 21041543.

It is a super-2 number, since 2×3451401202 = 238243404867228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 345140092 and 345140101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345140123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10682 + ... + 28361.

Almost surely, 2345140120 is an apocalyptic number.

It is an amenable number.

345140120 is an abundant number, since it is smaller than the sum of its proper divisors (540377800).

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

345140120 is a wasteful number, since it uses less digits than its factorization.

345140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39084 (or 39080 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 345140120 is about 18577.9471417054. The cubic root of 345140120 is about 701.4528464839.

Adding to 345140120 its reverse (21041543), we get a palindrome (366181663).

The spelling of 345140120 in words is "three hundred forty-five million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 39043 78086 156172 195215 312344 390430 507559 663731 780860 1015118 1327462 1561720 2030236 2537795 2654924 3318655 4060472 5075590 5309848 6637310 8628503 10151180 13274620 17257006 20302360 26549240 34514012 43142515 69028024 86285030 172570060 345140120