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342503040 = 27351116217
BaseRepresentation
bin10100011010100…
…010111010000000
3212212110221211210
4110122202322000
51200140044130
653553010120
711326141065
oct2432427200
9785427753
10342503040
11166374670
1296853940
1355c5ca29
14336b8c6c
15201075b0
hex146a2e80

342503040 has 128 divisors (see below), whose sum is σ = 1191049920. Its totient is φ = 83025920.

The previous prime is 342503039. The next prime is 342503047. The reversal of 342503040 is 40305243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 342502998 and 342503016.

It is not an unprimeable number, because it can be changed into a prime (342503047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13012 + ... + 29228.

Almost surely, 2342503040 is an apocalyptic number.

342503040 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 342503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595524960).

342503040 is an abundant number, since it is smaller than the sum of its proper divisors (848546880).

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

342503040 is a wasteful number, since it uses less digits than its factorization.

342503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 342503040 is about 18506.8376553100. The cubic root of 342503040 is about 699.6617685698.

Adding to 342503040 its reverse (40305243), we get a palindrome (382808283).

The spelling of 342503040 in words is "three hundred forty-two million, five hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 16217 21120 32434 48651 64868 81085 97302 129736 162170 178387 194604 243255 259472 324340 356774 389208 486510 518944 535161 648680 713548 778416 891935 973020 1037888 1070322 1297360 1427096 1556832 1783870 1946040 2075776 2140644 2594720 2675805 2854192 3113664 3567740 3892080 4281288 5189440 5351610 5708384 6227328 7135480 7784160 8562576 10378880 10703220 11416768 14270960 15568320 17125152 21406440 22833536 28541920 31136640 34250304 42812880 57083840 68500608 85625760 114167680 171251520 342503040