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340094640 = 24355326737
BaseRepresentation
bin10100010001010…
…110111010110000
3212200221121010210
4110101112322300
51144031012030
653425224120
711266520364
oct2421267260
9780847123
10340094640
11164a7a156
1295a92040
13555c8742
143324d2a4
151eccdbb0
hex14456eb0

340094640 has 80 divisors (see below), whose sum is σ = 1074225888. Its totient is φ = 88977408.

The previous prime is 340094627. The next prime is 340094641. The reversal of 340094640 is 46490043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340094598 and 340094607.

It is not an unprimeable number, because it can be changed into a prime (340094641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649 + ... + 26088.

Almost surely, 2340094640 is an apocalyptic number.

340094640 is a gapful number since it is divisible by the number (30) 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 340094640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537112944).

340094640 is an abundant number, since it is smaller than the sum of its proper divisors (734131248).

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

340094640 is a wasteful number, since it uses less digits than its factorization.

340094640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26806 (or 26800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 340094640 is about 18441.6550233432. The cubic root of 340094640 is about 698.0179577923.

The spelling of 340094640 in words is "three hundred forty million, ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 26737 53474 80211 106948 133685 160422 213896 267370 320844 401055 427792 534740 641688 802110 1069480 1283376 1417061 1604220 2138960 2834122 3208440 4251183 5668244 6416880 7085305 8502366 11336488 14170610 17004732 21255915 22672976 28341220 34009464 42511830 56682440 68018928 85023660 113364880 170047320 340094640