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334000020 = 223517232619
BaseRepresentation
bin10011111010000…
…110111110010100
3212021110221220010
4103322012332110
51141001000040
653050440220
711163644664
oct2372067624
9767427803
10334000020
11161597182
1293a33070
1354273663
14325041a4
151e4c7e80
hex13e86f94

334000020 has 144 divisors (see below), whose sum is σ = 1036808640. Its totient is φ = 80053248.

The previous prime is 334000019. The next prime is 334000021. The reversal of 334000020 is 20000433.

It is an interprime number because it is at equal distance from previous prime (334000019) and next prime (334000021).

It is a super-2 number, since 2×3340000202 = 223112026720000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539271 + ... + 539889.

It is an arithmetic number, because the mean of its divisors is an integer number (7200060).

Almost surely, 2334000020 is an apocalyptic number.

334000020 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 334000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518404320).

334000020 is an abundant number, since it is smaller than the sum of its proper divisors (702808620).

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

334000020 is a wasteful number, since it uses less digits than its factorization.

334000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 334000020 is about 18275.6674296727. The cubic root of 334000020 is about 693.8232212303.

Adding to 334000020 its reverse (20000433), we get a palindrome (354000453).

The spelling of 334000020 in words is "three hundred thirty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 529 619 690 782 1020 1058 1173 1238 1380 1564 1587 1857 1955 2116 2346 2476 2645 3095 3174 3714 3910 4692 5290 5865 6190 6348 7428 7820 7935 8993 9285 10523 10580 11730 12380 14237 15870 17986 18570 21046 23460 26979 28474 31569 31740 35972 37140 42092 42711 44965 52615 53958 56948 63138 71185 85422 89930 105230 107916 126276 134895 142370 157845 170844 179860 210460 213555 242029 269790 284740 315690 327451 427110 484058 539580 631380 654902 726087 854220 968116 982353 1210145 1309804 1452174 1637255 1964706 2420290 2904348 3274510 3630435 3929412 4840580 4911765 5566667 6549020 7260870 9823530 11133334 14521740 16700001 19647060 22266668 27833335 33400002 55666670 66800004 83500005 111333340 167000010 334000020