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334317940 = 225113767613
BaseRepresentation
bin10011111011010…
…100100101110100
3212022002002222221
4103323110211310
51141041133230
653101332124
711166440605
oct2373244564
9768062887
10334317940
11161794020
1293b67044
1354355288
1432587dac
151e53c27a
hex13ed4974

334317940 has 96 divisors (see below), whose sum is σ = 799634304. Its totient is φ = 116328960.

The previous prime is 334317931. The next prime is 334317943. The reversal of 334317940 is 49713433.

It is a happy number.

It is a super-2 number, since 2×3343179402 = 223536970011687200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334317896 and 334317905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334317943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545074 + ... + 545686.

It is an arithmetic number, because the mean of its divisors is an integer number (8329524).

Almost surely, 2334317940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334317940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399817152).

334317940 is an abundant number, since it is smaller than the sum of its proper divisors (465316364).

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

334317940 is a wasteful number, since it uses less digits than its factorization.

334317940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 334317940 is about 18284.3632648228. The cubic root of 334317940 is about 694.0432914054.

The spelling of 334317940 in words is "three hundred thirty-four million, three hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 67 74 110 134 148 185 220 268 335 370 407 613 670 737 740 814 1226 1340 1474 1628 2035 2452 2479 2948 3065 3685 4070 4958 6130 6743 7370 8140 9916 12260 12395 13486 14740 22681 24790 26972 27269 33715 41071 45362 49580 54538 67430 82142 90724 109076 113405 134860 136345 164284 205355 226810 249491 272690 410710 451781 453620 498982 545380 821420 903562 997964 1247455 1519627 1807124 2258905 2494910 3039254 4517810 4989820 6078508 7598135 9035620 15196270 16715897 30392540 33431794 66863588 83579485 167158970 334317940