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385417914 = 237172113281
BaseRepresentation
bin10110111110010…
…000001010111010
3222212020020222120
4112332100022322
51242131333124
6102124502110
712356666250
oct2676201272
9885206876
10385417914
11188616202
12a90aa936
1361b0724b
143928a5d0
1523c82d79
hex16f902ba

385417914 has 96 divisors (see below), whose sum is σ = 947465856. Its totient is φ = 102359040.

The previous prime is 385417909. The next prime is 385417927. The reversal of 385417914 is 419714583.

It is a happy number.

It is a super-2 number, since 2×3854179142 = 297093936864222792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1371454 + ... + 1371734.

It is an arithmetic number, because the mean of its divisors is an integer number (9869436).

Almost surely, 2385417914 is an apocalyptic number.

385417914 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 385417914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473732928).

385417914 is an abundant number, since it is smaller than the sum of its proper divisors (562047942).

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

385417914 is a wasteful number, since it uses less digits than its factorization.

385417914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 385417914 is about 19632.0634167680. The cubic root of 385417914 is about 727.7417635091.

The spelling of 385417914 in words is "three hundred eighty-five million, four hundred seventeen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 113 119 226 238 281 289 339 357 562 578 678 714 791 843 867 1582 1686 1734 1921 1967 2023 2373 3842 3934 4046 4746 4777 5763 5901 6069 9554 11526 11802 12138 13447 14331 26894 28662 31753 32657 33439 40341 63506 65314 66878 80682 81209 95259 97971 100317 162418 190518 195942 200634 222271 228599 243627 444542 457198 487254 539801 568463 666813 685797 1079602 1136926 1333626 1371594 1619403 1705389 3238806 3410778 3778607 7557214 9176617 11335821 18353234 22671642 27529851 55059702 64236319 128472638 192708957 385417914