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340000374 = 237173115361
BaseRepresentation
bin10100010000111…
…111111001110110
3212200202210211110
4110100333321312
51144020002444
653423215450
711265645510
oct2420777166
9780683743
10340000374
11164a1534a
1295a47586
135559486c
1433226bb0
151ecb0cb9
hex1443fe76

340000374 has 64 divisors (see below), whose sum is σ = 849457152. Its totient is φ = 88473600.

The previous prime is 340000361. The next prime is 340000387. The reversal of 340000374 is 473000043.

It is an interprime number because it is at equal distance from previous prime (340000361) and next prime (340000387).

It is a Harshad number since it is a multiple of its sum of digits (21).

340000374 is a modest number, since divided by 374 gives 340 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 340000374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14454 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (13272768).

Almost surely, 2340000374 is an apocalyptic number.

340000374 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340000374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424728576).

340000374 is an abundant number, since it is smaller than the sum of its proper divisors (509456778).

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

340000374 is a wasteful number, since it uses less digits than its factorization.

340000374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 340000374 is about 18439.0990560819. The cubic root of 340000374 is about 697.9534606070.

The spelling of 340000374 in words is "three hundred forty million, three hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 7378 11067 15361 22134 30722 46083 92166 107527 215054 261137 322581 476191 522274 645162 783411 952382 1428573 1566822 1827959 2857146 3333337 3655918 5483877 6666674 8095247 10000011 10967754 16190494 20000022 24285741 48571482 56666729 113333458 170000187 340000374