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328959972 = 22321131127211
BaseRepresentation
bin10011100110111…
…000011111100100
3211220222220020200
4103212320133210
51133203204342
652350430500
711103053655
oct2346703744
9756886220
10328959972
11159764550
1292202430
13531ca593
143199152c
151dd2e94c
hex139b87e4

328959972 has 144 divisors (see below), whose sum is σ = 948240384. Its totient is φ = 95256000.

The previous prime is 328959907. The next prime is 328959989. The reversal of 328959972 is 279959823.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558947 + ... + 1559157.

Almost surely, 2328959972 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 328959972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474120192).

328959972 is an abundant number, since it is smaller than the sum of its proper divisors (619280412).

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

328959972 is a wasteful number, since it uses less digits than its factorization.

328959972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 328959972 is about 18137.2537061155. The cubic root of 328959972 is about 690.3155960196.

The spelling of 328959972 in words is "three hundred twenty-eight million, nine hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 127 132 186 198 211 254 279 341 372 381 396 422 508 558 633 682 762 844 1023 1116 1143 1266 1364 1397 1524 1899 2046 2286 2321 2532 2794 3069 3798 3937 4092 4191 4572 4642 5588 6138 6541 6963 7596 7874 8382 9284 11811 12276 12573 13082 13926 15748 16764 19623 20889 23622 25146 26164 26797 27852 35433 39246 41778 43307 47244 50292 53594 58869 70866 71951 78492 80391 83556 86614 107188 117738 129921 141732 143902 160782 173228 215853 235476 241173 259842 287804 294767 321564 389763 431706 482346 519684 589534 647559 779526 830707 863412 884301 964692 1179068 1295118 1559052 1661414 1768602 2492121 2590236 2652903 3322828 3537204 4984242 5305806 7476363 9137777 9968484 10611612 14952726 18275554 27413331 29905452 36551108 54826662 82239993 109653324 164479986 328959972