Search a number
-
+
342902820 = 223513499881
BaseRepresentation
bin10100011100000…
…100100000100100
3212220020021020110
4110130010200210
51200240342240
654005333020
711332424451
oct2434044044
9786207213
10342902820
11166617a67
1296a07170
135606c9a0
1433780828
1520185c80
hex14704824

342902820 has 96 divisors (see below), whose sum is σ = 1037232000. Its totient is φ = 84142080.

The previous prime is 342902783. The next prime is 342902891. The reversal of 342902820 is 28209243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388780 + ... + 389660.

It is an arithmetic number, because the mean of its divisors is an integer number (10804500).

Almost surely, 2342902820 is an apocalyptic number.

342902820 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 342902820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518616000).

342902820 is an abundant number, since it is smaller than the sum of its proper divisors (694329180).

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

342902820 is a wasteful number, since it uses less digits than its factorization.

342902820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 342902820 is about 18517.6353782010. The cubic root of 342902820 is about 699.9338849121.

The spelling of 342902820 in words is "three hundred forty-two million, nine hundred two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 499 780 881 998 1497 1762 1996 2495 2643 2994 3524 4405 4990 5286 5988 6487 7485 8810 9980 10572 11453 12974 13215 14970 17620 19461 22906 25948 26430 29940 32435 34359 38922 45812 52860 57265 64870 68718 77844 97305 114530 129740 137436 171795 194610 229060 343590 389220 439619 687180 879238 1318857 1758476 2198095 2637714 4396190 5275428 5715047 6594285 8792380 11430094 13188570 17145141 22860188 26377140 28575235 34290282 57150470 68580564 85725705 114300940 171451410 342902820