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334057620 = 2235131922541
BaseRepresentation
bin10011111010010…
…101000010010100
3212021120212220110
4103322111002110
51141004320440
653052003020
711164304631
oct2372250224
9767525813
10334057620
11161626486
1293a60470
1354293940
143251b188
151e4da080
hex13e95094

334057620 has 96 divisors (see below), whose sum is σ = 1060375680. Its totient is φ = 77898240.

The previous prime is 334057597. The next prime is 334057631. The reversal of 334057620 is 26750433.

It is a super-2 number, since 2×3340576202 = 223188986960128800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3550 + ... + 26090.

It is an arithmetic number, because the mean of its divisors is an integer number (11045580).

Almost surely, 2334057620 is an apocalyptic number.

334057620 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 334057620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530187840).

334057620 is an abundant number, since it is smaller than the sum of its proper divisors (726318060).

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

334057620 is a wasteful number, since it uses less digits than its factorization.

334057620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22583 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 334057620 is about 18277.2432275767. The cubic root of 334057620 is about 693.8631033841.

The spelling of 334057620 in words is "three hundred thirty-four million, fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 22541 45082 67623 90164 112705 135246 225410 270492 293033 338115 428279 450820 586066 676230 856558 879099 1172132 1284837 1352460 1465165 1713116 1758198 2141395 2569674 2930330 3516396 4282790 4395495 5139348 5567627 5860660 6424185 8565580 8790990 11135254 12848370 16702881 17581980 22270508 25696740 27838135 33405762 55676270 66811524 83514405 111352540 167028810 334057620