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340063240 = 235112174133
BaseRepresentation
bin10100010001001…
…111010000001000
3212200220000001211
4110101033100020
51144024010430
653424422504
711266330006
oct2421172010
9780800054
10340063240
11164a58600
1295a77a34
13555b736a
1433241a76
151ecc472a
hex1444f408

340063240 has 96 divisors (see below), whose sum is σ = 890711640. Its totient is φ = 116357120.

The previous prime is 340063231. The next prime is 340063247. The reversal of 340063240 is 42360043.

It can be written as a sum of positive squares in 4 ways, for example, as 327827236 + 12236004 = 18106^2 + 3498^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (340063247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80214 + ... + 84346.

Almost surely, 2340063240 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 340063240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445355820).

340063240 is an abundant number, since it is smaller than the sum of its proper divisors (550648400).

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

340063240 is a wasteful number, since it uses less digits than its factorization.

340063240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 340063240 is about 18440.8036701224. The cubic root of 340063240 is about 697.9964751069.

The spelling of 340063240 in words is "three hundred forty million, sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4133 4840 7480 8228 8266 10285 16456 16532 20570 20665 33064 41140 41330 45463 70261 82280 82660 90926 140522 165320 181852 227315 281044 351305 363704 454630 500093 562088 702610 772871 909260 1000186 1405220 1545742 1818520 2000372 2500465 2810440 3091484 3864355 4000744 5000930 6182968 7728710 8501581 10001860 15457420 17003162 20003720 30914840 34006324 42507905 68012648 85015810 170031620 340063240