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342110040 = 233517672503
BaseRepresentation
bin10100011001000…
…010111101011000
3212211201222202020
4110121002331120
51200040010130
653540334440
711322613236
oct2431027530
9784658666
10342110040
11166126378
12966a4420
1355b52b9c
1433615956
152007ae10
hex14642f58

342110040 has 128 divisors (see below), whose sum is σ = 1103362560. Its totient is φ = 84547584.

The previous prime is 342110011. The next prime is 342110051. The reversal of 342110040 is 40011243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135429 + ... + 137931.

It is an arithmetic number, because the mean of its divisors is an integer number (8620020).

Almost surely, 2342110040 is an apocalyptic number.

342110040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551681280).

342110040 is an abundant number, since it is smaller than the sum of its proper divisors (761252520).

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

342110040 is a wasteful number, since it uses less digits than its factorization.

342110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 342110040 is about 18496.2169104928. The cubic root of 342110040 is about 699.3940606675.

Adding to 342110040 its reverse (40011243), we get a palindrome (382121283).

The spelling of 342110040 in words is "three hundred forty-two million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 67 68 85 102 120 134 136 170 201 204 255 268 335 340 402 408 510 536 670 680 804 1005 1020 1139 1340 1608 2010 2040 2278 2503 2680 3417 4020 4556 5006 5695 6834 7509 8040 9112 10012 11390 12515 13668 15018 17085 20024 22780 25030 27336 30036 34170 37545 42551 45560 50060 60072 68340 75090 85102 100120 127653 136680 150180 167701 170204 212755 255306 300360 335402 340408 425510 503103 510612 638265 670804 838505 851020 1006206 1021224 1276530 1341608 1677010 1702040 2012412 2515515 2553060 2850917 3354020 4024824 5031030 5106120 5701834 6708040 8552751 10062060 11403668 14254585 17105502 20124120 22807336 28509170 34211004 42763755 57018340 68422008 85527510 114036680 171055020 342110040