Search a number
-
+
340094976 = 2123132129
BaseRepresentation
bin10100010001010…
…111000000000000
3212200221121121020
4110101113000000
51144031014401
653425225440
711266521354
oct2421270000
9780847536
10340094976
11164a7a431
1295a92280
13555c8940
143324d464
151eccdd36
hex14457000

340094976 has 104 divisors (see below), whose sum is σ = 977022480. Its totient is φ = 104595456.

The previous prime is 340094957. The next prime is 340094981. The reversal of 340094976 is 679490043.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158680 + ... + 160808.

Almost surely, 2340094976 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 340094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488511240).

340094976 is an abundant number, since it is smaller than the sum of its proper divisors (636927504).

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

340094976 is a wasteful number, since it uses less digits than its factorization.

340094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 340094976 is about 18441.6641331524. The cubic root of 340094976 is about 698.0181876636.

The spelling of 340094976 in words is "three hundred forty million, ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2129 2496 3072 3328 4096 4258 4992 6144 6387 6656 8516 9984 12288 12774 13312 17032 19968 25548 26624 27677 34064 39936 51096 53248 55354 68128 79872 83031 102192 110708 136256 159744 166062 204384 221416 272512 332124 408768 442832 545024 664248 817536 885664 1090048 1328496 1635072 1771328 2180096 2656992 3270144 3542656 4360192 5313984 6540288 7085312 8720384 10627968 13080576 14170624 21255936 26161152 28341248 42511872 56682496 85023744 113364992 170047488 340094976