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340370016 = 2537691733
BaseRepresentation
bin10100010010011…
…010001001100000
3212201110120212220
4110102122021200
51144113320031
653435151040
711302045260
oct2422321140
9781416786
10340370016
11165148038
1295ba5480
1355693b9c
14332c17a0
151ed35596
hex1449a260

340370016 has 96 divisors (see below), whose sum is σ = 1023982848. Its totient is φ = 96975360.

The previous prime is 340370011. The next prime is 340370021. The reversal of 340370016 is 610073043.

It is an interprime number because it is at equal distance from previous prime (340370011) and next prime (340370021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340370011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463986 + ... + 464718.

It is an arithmetic number, because the mean of its divisors is an integer number (10666488).

Almost surely, 2340370016 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 340370016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511991424).

340370016 is an abundant number, since it is smaller than the sum of its proper divisors (683612832).

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

340370016 is a wasteful number, since it uses less digits than its factorization.

340370016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 340370016 is about 18449.1196537938. The cubic root of 340370016 is about 698.2063029509.

The spelling of 340370016 in words is "three hundred forty million, three hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 733 1382 1466 2073 2199 2764 2932 4146 4398 4837 5131 5528 5864 8292 8796 9674 10262 11056 11728 14511 15393 16584 17592 19348 20524 22112 23456 29022 30786 33168 35184 38696 41048 58044 61572 66336 70368 77392 82096 116088 123144 154784 164192 232176 246288 464352 492576 506503 1013006 1519509 2026012 3039018 3545521 4052024 6078036 7091042 8104048 10636563 12156072 14182084 16208096 21273126 24312144 28364168 42546252 48624288 56728336 85092504 113456672 170185008 340370016