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309430680 = 2335131391427
BaseRepresentation
bin10010011100011…
…000100110011000
3210120020201002120
4102130120212120
51113203240210
650412101240
710445055156
oct2234304630
9716221076
10309430680
11149735939
1287764820
134c1504a0
142d14a3d6
151c273270
hex12718998

309430680 has 128 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 75566592.

The previous prime is 309430663. The next prime is 309430691. The reversal of 309430680 is 86034903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216127 + ... + 217553.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850).

Almost surely, 2309430680 is an apocalyptic number.

309430680 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 309430680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

309430680 is an abundant number, since it is smaller than the sum of its proper divisors (698166120).

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

309430680 is a wasteful number, since it uses less digits than its factorization.

309430680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 309430680 is about 17590.6418302460. The cubic root of 309430680 is about 676.3753794380.

The spelling of 309430680 in words is "three hundred nine million, four hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 139 156 195 260 278 312 390 417 520 556 695 780 834 1112 1390 1427 1560 1668 1807 2085 2780 2854 3336 3614 4170 4281 5421 5560 5708 7135 7228 8340 8562 9035 10842 11416 14270 14456 16680 17124 18070 18551 21405 21684 27105 28540 34248 36140 37102 42810 43368 54210 55653 57080 72280 74204 85620 92755 108420 111306 148408 171240 185510 198353 216840 222612 278265 371020 396706 445224 556530 595059 742040 793412 991765 1113060 1190118 1586824 1983530 2226120 2380236 2578589 2975295 3967060 4760472 5157178 5950590 7735767 7934120 10314356 11901180 12892945 15471534 20628712 23802360 25785890 30943068 38678835 51571780 61886136 77357670 103143560 154715340 309430680