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334020780 = 223353591723
BaseRepresentation
bin10011111010001…
…100000010101100
3212021112000101000
4103322030002230
51141002131110
653051120300
711164062342
oct2372140254
9767460330
10334020780
11161600835
1293a43090
135427cc42
143250b992
151e4ce1c0
hex13e8c0ac

334020780 has 96 divisors (see below), whose sum is σ = 1042675200. Its totient is φ = 88772544.

The previous prime is 334020763. The next prime is 334020803. The reversal of 334020780 is 87020433.

It is a super-2 number, since 2×3340207802 = 223139762943616800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192999 + ... + 194721.

It is an arithmetic number, because the mean of its divisors is an integer number (10861200).

Almost surely, 2334020780 is an apocalyptic number.

334020780 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 334020780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521337600).

334020780 is an abundant number, since it is smaller than the sum of its proper divisors (708654420).

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

334020780 is a wasteful number, since it uses less digits than its factorization.

334020780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 334020780 is about 18276.2353891604. The cubic root of 334020780 is about 693.8375959517.

The spelling of 334020780 in words is "three hundred thirty-four million, twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 359 540 718 1077 1436 1723 1795 2154 3231 3446 3590 4308 5169 5385 6462 6892 7180 8615 9693 10338 10770 12924 15507 16155 17230 19386 20676 21540 25845 31014 32310 34460 38772 46521 48465 51690 62028 64620 77535 93042 96930 103380 155070 186084 193860 232605 310140 465210 618557 930420 1237114 1855671 2474228 3092785 3711342 5567013 6185570 7422684 9278355 11134026 12371140 16701039 18556710 22268052 27835065 33402078 37113420 55670130 66804156 83505195 111340260 167010390 334020780