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342255200 = 2552728731
BaseRepresentation
bin10100011001100…
…110011001100000
3212212000100212112
4110121212121200
51200104131300
653543414452
711324056400
oct2431463140
9785010775
10342255200
11166215441
1296754428
1355ba3c91
1433652800
15200a8e35
hex14666660

342255200 has 108 divisors (see below), whose sum is σ = 972054972. Its totient is φ = 117331200.

The previous prime is 342255197. The next prime is 342255233. The reversal of 342255200 is 2552243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34835 + ... + 43565.

It is an arithmetic number, because the mean of its divisors is an integer number (9000509).

Almost surely, 2342255200 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 342255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486027486).

342255200 is an abundant number, since it is smaller than the sum of its proper divisors (629799772).

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

342255200 is a wasteful number, since it uses less digits than its factorization.

342255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 342255200 is about 18500.1405400067. The cubic root of 342255200 is about 699.4929661601.

The spelling of 342255200 in words is "three hundred forty-two million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 8731 9800 17462 19600 34924 39200 43655 61117 69848 87310 122234 139696 174620 218275 244468 279392 305585 349240 427819 436550 488936 611170 698480 855638 873100 977872 1222340 1396960 1527925 1711276 1746200 1955744 2139095 2444680 3055850 3422552 3492400 4278190 4889360 6111700 6845104 6984800 8556380 9778720 10695475 12223400 13690208 17112760 21390950 24446800 34225520 42781900 48893600 68451040 85563800 171127600 342255200