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342125070 = 23575359521
BaseRepresentation
bin10100011001000…
…110101000001110
3212211202202100220
4110121012220032
51200041000240
653540532210
711323005120
oct2431065016
9784682326
10342125070
111661366a1
12966b1066
1355b59991
143361b210
15200805d0
hex14646a0e

342125070 has 128 divisors (see below), whose sum is σ = 974177280. Its totient is φ = 75279360.

The previous prime is 342125041. The next prime is 342125081. The reversal of 342125070 is 70521243.

It is a self number, because there is not a number n which added to its sum of digits gives 342125070.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656410 + ... + 656930.

It is an arithmetic number, because the mean of its divisors is an integer number (7610760).

Almost surely, 2342125070 is an apocalyptic number.

342125070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342125070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487088640).

342125070 is an abundant number, since it is smaller than the sum of its proper divisors (632052210).

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

342125070 is a wasteful number, since it uses less digits than its factorization.

342125070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 342125070 is about 18496.6232053313. The cubic root of 342125070 is about 699.4043027316.

The spelling of 342125070 in words is "three hundred forty-two million, one hundred twenty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 59 70 105 106 118 159 177 210 265 295 318 354 371 413 521 530 590 742 795 826 885 1042 1113 1239 1563 1590 1770 1855 2065 2226 2478 2605 3126 3127 3647 3710 4130 5210 5565 6195 6254 7294 7815 9381 10941 11130 12390 15630 15635 18235 18762 21882 21889 27613 30739 31270 36470 43778 46905 54705 55226 61478 65667 82839 92217 93810 109410 109445 131334 138065 153695 165678 184434 193291 215173 218890 276130 307390 328335 386582 414195 430346 461085 579873 645519 656670 828390 922170 966455 1075865 1159746 1291038 1629167 1932910 2151730 2899365 3227595 3258334 4887501 5798730 6455190 8145835 9775002 11404169 16291670 22808338 24437505 34212507 48875010 57020845 68425014 114041690 171062535 342125070