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328998672 = 2435372287
BaseRepresentation
bin10011100111000…
…001111100010000
3211221001212100000
4103213001330100
51133210424142
652351330000
711103304542
oct2347017420
9757055300
10328998672
11159790632
1292220900
1353212092
14319a1692
151dd3b14c
hex139c1f10

328998672 has 120 divisors (see below), whose sum is σ = 981076096. Its totient is φ = 106655616.

The previous prime is 328998667. The next prime is 328998673. The reversal of 328998672 is 276899823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (328998673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142713 + ... + 144999.

Almost surely, 2328998672 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 328998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490538048).

328998672 is an abundant number, since it is smaller than the sum of its proper divisors (652077424).

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

328998672 is a wasteful number, since it uses less digits than its factorization.

328998672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2329 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 328998672 is about 18138.3205396751. The cubic root of 328998672 is about 690.3426653373.

The spelling of 328998672 in words is "three hundred twenty-eight million, nine hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 888 972 999 1296 1332 1776 1944 1998 2287 2664 2997 3888 3996 4574 5328 5994 6861 7992 8991 9148 11988 13722 15984 17982 18296 20583 23976 27444 35964 36592 41166 47952 54888 61749 71928 82332 84619 109776 123498 143856 164664 169238 185247 246996 253857 329328 338476 370494 493992 507714 555741 676952 740988 761571 987984 1015428 1111482 1353904 1481976 1523142 2030856 2222964 2284713 2963952 3046284 4061712 4445928 4569426 6092568 6854139 8891856 9138852 12185136 13708278 18277704 20562417 27416556 36555408 41124834 54833112 82249668 109666224 164499336 328998672