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342040000 = 265417503
BaseRepresentation
bin10100011000110…
…001110111000000
3212211121102200011
4110120301313000
51200030240000
653535034304
711322202111
oct2430616700
9784542604
10342040000
11166088795
129666b994
1355b2a043
14335d8208
15200652ba
hex14631dc0

342040000 has 140 divisors (see below), whose sum is σ = 899824464. Its totient is φ = 128512000.

The previous prime is 342039991. The next prime is 342040003. The reversal of 342040000 is 40243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679749 + ... + 680251.

Almost surely, 2342040000 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 342040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449912232).

342040000 is an abundant number, since it is smaller than the sum of its proper divisors (557784464).

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

342040000 is an equidigital number, since it uses as much as digits as its factorization.

342040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 342040000 is about 18494.3234534275. The cubic root of 342040000 is about 699.3463285564.

Adding to 342040000 its reverse (40243), we get a palindrome (342080243).

The spelling of 342040000 in words is "three hundred forty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 503 544 625 680 800 850 1000 1006 1088 1250 1360 1600 1700 2000 2012 2125 2500 2515 2720 3400 4000 4024 4250 5000 5030 5440 6800 8000 8048 8500 8551 10000 10060 10625 12575 13600 16096 17000 17102 20000 20120 21250 25150 27200 32192 34000 34204 40000 40240 42500 42755 50300 62875 68000 68408 80480 85000 85510 100600 125750 136000 136816 160960 170000 171020 201200 213775 251500 273632 314375 340000 342040 402400 427550 503000 547264 628750 680000 684080 804800 855100 1006000 1068875 1257500 1368160 1710200 2012000 2137750 2515000 2736320 3420400 4024000 4275500 5030000 5344375 6840800 8551000 10060000 10688750 13681600 17102000 20120000 21377500 34204000 42755000 68408000 85510000 171020000 342040000