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340434432 = 2932135683
BaseRepresentation
bin10100010010101…
…001111000000000
3212201120212020200
4110102221320000
51144122400212
653440405200
711302434132
oct2422517000
9781525220
10340434432
11165191478
1296016800
13556b72c0
14332db052
151ed496dc
hex144a9e00

340434432 has 120 divisors (see below), whose sum is σ = 1058281224. Its totient is φ = 104730624.

The previous prime is 340434383. The next prime is 340434443. The reversal of 340434432 is 234434043.

It is a junction number, because it is equal to n+sod(n) for n = 340434396 and 340434405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57063 + ... + 62745.

Almost surely, 2340434432 is an apocalyptic number.

340434432 is a gapful number since it is divisible by the number (32) 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 340434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529140612).

340434432 is an abundant number, since it is smaller than the sum of its proper divisors (717846792).

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

340434432 is a wasteful number, since it uses less digits than its factorization.

340434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 340434432 is about 18450.8653455604. The cubic root of 340434432 is about 698.2503460199.

Adding to 340434432 its reverse (234434043), we get a palindrome (574868475).

The spelling of 340434432 in words is "three hundred forty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 5683 6656 7488 9984 11366 14976 17049 19968 22732 29952 34098 45464 51147 59904 68196 73879 90928 102294 136392 147758 181856 204588 221637 272784 295516 363712 409176 443274 545568 591032 664911 727424 818352 886548 1091136 1182064 1329822 1454848 1636704 1773096 2182272 2364128 2659644 2909696 3273408 3546192 4364544 4728256 5319288 6546816 7092384 8729088 9456512 10638576 13093632 14184768 18913024 21277152 26187264 28369536 37826048 42554304 56739072 85108608 113478144 170217216 340434432