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340155420 = 2235112931759
BaseRepresentation
bin10100010001100…
…101110000011100
3212201001200111220
4110101211300130
51144034433140
653430413340
711300162523
oct2421456034
9781050456
10340155420
11165010890
1295b01250
135561a2c7
14332674ba
151ece1bd0
hex14465c1c

340155420 has 96 divisors (see below), whose sum is σ = 1043159040. Its totient is φ = 82133760.

The previous prime is 340155407. The next prime is 340155427. The reversal of 340155420 is 24551043.

340155420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340155427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192501 + ... + 194259.

It is an arithmetic number, because the mean of its divisors is an integer number (10866240).

Almost surely, 2340155420 is an apocalyptic number.

340155420 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 340155420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521579520).

340155420 is an abundant number, since it is smaller than the sum of its proper divisors (703003620).

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

340155420 is a wasteful number, since it uses less digits than its factorization.

340155420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 340155420 is about 18443.3028495441. The cubic root of 340155420 is about 698.0595373992.

The spelling of 340155420 in words is "three hundred forty million, one hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 293 330 586 660 879 1172 1465 1758 1759 2930 3223 3516 3518 4395 5277 5860 6446 7036 8790 8795 9669 10554 12892 16115 17580 17590 19338 19349 21108 26385 32230 35180 38676 38698 48345 52770 58047 64460 77396 96690 96745 105540 116094 193380 193490 232188 290235 386980 515387 580470 1030774 1160940 1546161 2061548 2576935 3092322 5153870 5669257 6184644 7730805 10307740 11338514 15461610 17007771 22677028 28346285 30923220 34015542 56692570 68031084 85038855 113385140 170077710 340155420