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68034540 = 22357273317
BaseRepresentation
bin1000000111000…
…01111111101100
311202000111211210
410003201333230
5114404101130
610430114420
71454166300
oct403417754
9152014753
1068034540
11354493a2
121a94ba10
1311131032
14906dd00
155e8d5b0
hex40e1fec

68034540 has 144 divisors (see below), whose sum is σ = 225342432. Its totient is φ = 15289344.

The previous prime is 68034511. The next prime is 68034569. The reversal of 68034540 is 4543086.

It is an interprime number because it is at equal distance from previous prime (68034511) and next prime (68034569).

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 = 68034498 and 68034507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214462 + ... + 214778.

It is an arithmetic number, because the mean of its divisors is an integer number (1564878).

Almost surely, 268034540 is an apocalyptic number.

68034540 is a gapful number since it is divisible by the number (60) 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 68034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112671216).

68034540 is an abundant number, since it is smaller than the sum of its proper divisors (157307892).

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

68034540 is a wasteful number, since it uses less digits than its factorization.

68034540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 68034540 is about 8248.3052804803. The cubic root of 68034540 is about 408.2346065172.

The spelling of 68034540 in words is "sixty-eight million, thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 73 84 98 105 140 146 147 196 210 219 245 292 294 317 365 420 438 490 511 588 634 730 735 876 951 980 1022 1095 1268 1460 1470 1533 1585 1902 2044 2190 2219 2555 2940 3066 3170 3577 3804 4380 4438 4755 5110 6132 6340 6657 7154 7665 8876 9510 10220 10731 11095 13314 14308 15330 15533 17885 19020 21462 22190 23141 26628 30660 31066 33285 35770 42924 44380 46282 46599 53655 62132 66570 69423 71540 77665 92564 93198 107310 115705 133140 138846 155330 161987 186396 214620 231410 232995 277692 310660 323974 347115 462820 465990 485961 647948 694230 809935 931980 971922 1133909 1388460 1619870 1943844 2267818 2429805 3239740 3401727 4535636 4859610 5669545 6803454 9719220 11339090 13606908 17008635 22678180 34017270 68034540