Search a number
-
+
342053376 = 2937291097
BaseRepresentation
bin10100011000110…
…101001000000000
3212211122010000120
4110120311020000
51200031202001
653535220240
711322256110
oct2430651000
9784563016
10342053376
11166097845
1296677680
1355b33162
14335dd040
1520069236
hex14635200

342053376 has 160 divisors (see below), whose sum is σ = 1078323840. Its totient is φ = 94273536.

The previous prime is 342053323. The next prime is 342053423. The reversal of 342053376 is 673350243.

342053376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 311260 + ... + 312356.

It is an arithmetic number, because the mean of its divisors is an integer number (6739524).

Almost surely, 2342053376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539161920).

342053376 is an abundant number, since it is smaller than the sum of its proper divisors (736270464).

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

342053376 is a wasteful number, since it uses less digits than its factorization.

342053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 342053376 is about 18494.6850743666. The cubic root of 342053376 is about 699.3554447753.

The spelling of 342053376 in words is "three hundred forty-two million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 896 928 1097 1218 1344 1392 1536 1624 1792 1856 2194 2436 2688 2784 3248 3291 3584 3712 4388 4872 5376 5568 6496 6582 7424 7679 8776 9744 10752 11136 12992 13164 14848 15358 17552 19488 22272 23037 25984 26328 30716 31813 35104 38976 44544 46074 51968 52656 61432 63626 70208 77952 92148 95439 103936 105312 122864 127252 140416 155904 184296 190878 210624 222691 245728 254504 280832 311808 368592 381756 421248 445382 491456 509008 561664 668073 737184 763512 842496 890764 982912 1018016 1336146 1474368 1527024 1684992 1781528 1965824 2036032 2672292 2948736 3054048 3563056 3931648 4072064 5344584 5897472 6108096 7126112 8144128 10689168 11794944 12216192 14252224 16288256 21378336 24432384 28504448 42756672 48864768 57008896 85513344 114017792 171026688 342053376