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342769920 = 2835233881
BaseRepresentation
bin10100011011100…
…100000100000000
3212212222111221020
4110123210010000
51200222114140
654002425440
711331332133
oct2433440400
9785874836
10342769920
11166537129
1296962280
135602434c
143374821a
152015b6d0
hex146e4100

342769920 has 144 divisors (see below), whose sum is σ = 1142612352. Its totient is φ = 87408640.

The previous prime is 342769913. The next prime is 342769939. The reversal of 342769920 is 29967243.

It is a happy 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, 86380 + ... + 90260.

It is an arithmetic number, because the mean of its divisors is an integer number (7934808).

Almost surely, 2342769920 is an apocalyptic number.

342769920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571306176).

342769920 is an abundant number, since it is smaller than the sum of its proper divisors (799842432).

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

342769920 is a wasteful number, since it uses less digits than its factorization.

342769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 342769920 is about 18514.0465593019. The cubic root of 342769920 is about 699.8434479836.

The spelling of 342769920 in words is "three hundred forty-two million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 3881 4416 5520 5888 7360 7762 8832 11040 11643 14720 15524 17664 19405 22080 23286 29440 31048 38810 44160 46572 58215 62096 77620 88320 89263 93144 116430 124192 155240 178526 186288 232860 248384 267789 310480 357052 372576 446315 465720 496768 535578 620960 714104 745152 892630 931440 993536 1071156 1241920 1338945 1428208 1490304 1785260 1862880 2142312 2483840 2677890 2856416 2980608 3570520 3725760 4284624 4967680 5355780 5712832 7141040 7451520 8569248 10711560 11425664 14282080 14903040 17138496 21423120 22851328 28564160 34276992 42846240 57128320 68553984 85692480 114256640 171384960 342769920