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342139840 = 2657198039
BaseRepresentation
bin10100011001001…
…010001111000000
3212211210111121221
4110121022033000
51200041433330
653541124424
711323066150
oct2431121700
9784714557
10342139840
111661467a9
12966b9714
1355b63613
1433622760
1520084b7a
hex1464a3c0

342139840 has 112 divisors (see below), whose sum is σ = 980236800. Its totient is φ = 111117312.

The previous prime is 342139813. The next prime is 342139867. The reversal of 342139840 is 48931243.

It is an interprime number because it is at equal distance from previous prime (342139813) and next prime (342139867).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 342139796 and 342139805.

It is a congruent number.

It is an unprimeable number.

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, 38541 + ... + 46579.

Almost surely, 2342139840 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 342139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490118400).

342139840 is an abundant number, since it is smaller than the sum of its proper divisors (638096960).

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

342139840 is a wasteful number, since it uses less digits than its factorization.

342139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 342139840 is about 18497.0224630885. The cubic root of 342139840 is about 699.4143673286.

The spelling of 342139840 in words is "three hundred forty-two million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 4256 5320 6080 8039 8512 10640 16078 21280 32156 40195 42560 56273 64312 80390 112546 128624 152741 160780 225092 257248 281365 305482 321560 450184 514496 562730 610964 643120 763705 900368 1069187 1125460 1221928 1286240 1527410 1800736 2138374 2250920 2443856 2572480 3054820 3601472 4276748 4501840 4887712 5345935 6109640 8553496 9003680 9775424 10691870 12219280 17106992 18007360 21383740 24438560 34213984 42767480 48877120 68427968 85534960 171069920 342139840