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342425440 = 2557417457
BaseRepresentation
bin10100011010001…
…111111101100000
3212212100000101201
4110122033331200
51200130103230
653551210544
711325365620
oct2432177540
9785300351
10342425440
11166321335
1296816a54
1355c33606
1433698880
15200de5ca
hex1468ff60

342425440 has 96 divisors (see below), whose sum is σ = 947225664. Its totient is φ = 114524160.

The previous prime is 342425437. The next prime is 342425459. The reversal of 342425440 is 44524243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 342425399 and 342425408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42192 + ... + 49648.

It is an arithmetic number, because the mean of its divisors is an integer number (9866934).

Almost surely, 2342425440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473612832).

342425440 is an abundant number, since it is smaller than the sum of its proper divisors (604800224).

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

342425440 is a wasteful number, since it uses less digits than its factorization.

342425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 342425440 is about 18504.7410141293. The cubic root of 342425440 is about 699.6089244120.

Adding to 342425440 its reverse (44524243), we get a palindrome (386949683).

The spelling of 342425440 in words is "three hundred forty-two million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 7457 9184 11480 14914 22960 29828 37285 45920 52199 59656 74570 104398 119312 149140 208796 238624 260995 298280 305737 417592 521990 596560 611474 835184 1043980 1193120 1222948 1528685 1670368 2087960 2140159 2445896 3057370 4175920 4280318 4891792 6114740 8351840 8560636 9783584 10700795 12229480 17121272 21401590 24458960 34242544 42803180 48917920 68485088 85606360 171212720 342425440