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342003144 = 233721717107
BaseRepresentation
bin10100011000101…
…000110111001000
3212211112120010010
4110120220313020
51200023100034
653534151520
711321656500
oct2430506710
9784476103
10342003144
1116606302a
12966525a0
1355b16332
14335c8a00
15200593e9
hex14628dc8

342003144 has 96 divisors (see below), whose sum is σ = 1053168480. Its totient is φ = 91961856.

The previous prime is 342003107. The next prime is 342003163. The reversal of 342003144 is 441300243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 342003144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11439 + ... + 28545.

It is an arithmetic number, because the mean of its divisors is an integer number (10970505).

Almost surely, 2342003144 is an apocalyptic number.

342003144 is a gapful number since it is divisible by the number (34) 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 342003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526584240).

342003144 is an abundant number, since it is smaller than the sum of its proper divisors (711165336).

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

342003144 is a wasteful number, since it uses less digits than its factorization.

342003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17147 (or 17136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 342003144 is about 18493.3270127362. The cubic root of 342003144 is about 699.3212086542.

Adding to 342003144 its reverse (441300243), we get a palindrome (783303387).

The spelling of 342003144 in words is "three hundred forty-two million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 17107 19992 34214 51321 68428 102642 119749 136856 205284 239498 290819 359247 410568 478996 581638 718494 838243 872457 957992 1163276 1436988 1676486 1744914 2035733 2326552 2514729 2873976 3352972 3489828 4071466 5029458 6107199 6705944 6979656 8142932 10058916 12214398 14250131 16285864 20117832 24428796 28500262 42750393 48857592 57000524 85500786 114001048 171001572 342003144