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344556342 = 2341347592
BaseRepresentation
bin10100100010011…
…000001100110110
3220000100021110000
4110202120030312
51201201300332
654105012130
711352452304
oct2442301466
9800307400
10344556342
11167547309
1297484046
13564cb4c0
1433a91274
15203b0b7c
hex14898336

344556342 has 120 divisors (see below), whose sum is σ = 863777376. Its totient is φ = 102002976.

The previous prime is 344556341. The next prime is 344556343. The reversal of 344556342 is 243655443.

It is an interprime number because it is at equal distance from previous prime (344556341) and next prime (344556343).

Its product of digits (172800) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 344556297 and 344556306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344556341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5839909 + ... + 5839967.

Almost surely, 2344556342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344556342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431888688).

344556342 is an abundant number, since it is smaller than the sum of its proper divisors (519221034).

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

344556342 is a wasteful number, since it uses less digits than its factorization.

344556342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 124 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 344556342 is about 18562.2289071113. The cubic root of 344556342 is about 701.0571387617.

The spelling of 344556342 in words is "three hundred forty-four million, five hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 59 78 81 94 117 118 141 162 177 234 282 351 354 423 531 611 702 767 846 1053 1062 1222 1269 1534 1593 1833 2106 2301 2538 2773 3186 3481 3666 3807 4602 4779 5499 5546 6903 6962 7614 8319 9558 10443 10998 13806 16497 16638 20709 20886 24957 31329 32994 36049 41418 45253 49491 49914 62127 62658 72098 74871 90506 93987 98982 108147 124254 135759 149742 163607 187974 216294 224613 271518 281961 324441 327214 407277 449226 490821 563922 648882 814554 973323 981642 1221831 1472463 1946646 2126891 2443662 2919969 2944926 3665493 4253782 4417389 5839938 6380673 7330986 8834778 12761346 13252167 19142019 26504334 38284038 57426057 114852114 172278171 344556342