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320973380 = 225713315689
BaseRepresentation
bin10011001000011…
…010101001000100
3211100222010200222
4103020122221010
51124132122010
651503323512
710645141310
oct2310325104
9740863628
10320973380
111551aa062
128b5b0598
13516622a0
14308b2b40
151d2a3355
hex1321aa44

320973380 has 96 divisors (see below), whose sum is σ = 856504320. Its totient is φ = 98288640.

The previous prime is 320973377. The next prime is 320973391. The reversal of 320973380 is 83379023.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 320973380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53576 + ... + 59264.

It is an arithmetic number, because the mean of its divisors is an integer number (8921920).

Almost surely, 2320973380 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 320973380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428252160).

320973380 is an abundant number, since it is smaller than the sum of its proper divisors (535530940).

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

320973380 is a wasteful number, since it uses less digits than its factorization.

320973380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 320973380 is about 17915.7299600100. The cubic root of 320973380 is about 684.6832001617.

The spelling of 320973380 in words is "three hundred twenty million, nine hundred seventy-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 5689 8060 11284 11378 14105 22756 28210 28445 39823 56420 56890 73957 79646 113780 147914 159292 176359 199115 295828 352718 369785 398230 517699 705436 739570 796460 881795 1035398 1234513 1479140 1763590 2070796 2292667 2469026 2588495 3527180 4585334 4938052 5176990 6172565 9170668 10353980 11463335 12345130 16048669 22926670 24690260 32097338 45853340 64194676 80243345 160486690 320973380